Is there anything I can do to fix my protruding upper lip and make it lay flat on my face like normal lips (Photo)

You would get a nice improvement with lip fillers. These fillers, (Volbella, Restylane, Juvederm) are good to create a symmetrical lip and can also lift the mouth corners. Nova threads can be used to improve lift and shape. Implants or fat are alternatives. Technique will be important here, so you'll want to see someone meticulous. I recommend getting a formal evaluation with a facial sculpting expert.  Best, Dr. Emer
 

It hard to tell based on the photo you have provided but it doesn't look like your upper lip is protruding much. A small amount of filler into the lower lip may help balance out the lip proportions. 

Hi,Firstly, I don't think your upper lip looks bad. It is very challenging to flatten or pull the lip back. An alternative may be to subtly enhance the volume of the lower lip for a more balanced appearance.Best,

 Hi, I have performed many facial shaping procedures using dermal fillers, silastic facial implants (cheek implants, chin implants, lip implants), liposuction and/or facelifts for over 30 years.  From the profile photo, the lips appear to be well proportioned and sized.  Following my beauty principles, the lips should be full with the upper lip approximately 75 % the size of the lower lip for the lips to appear balanced. However, the chin itself is extremely weak.  In this scenario, altering the lips does not appear to be warranted but rather you may wish to consider correcting the weak chin instead.  I have performed many facial shaping procedures, including Chin Augmentation with dermal fillers or silastic chin implants, for over 30 years.  When the chin is weak, this creates an imbalance making the nose appear larger, the mid face top heavy, the lower face looks short, de-emphasizes the lips and allows early formation of a "double chin".  
 Proper placement of a silastic chin implant adds forward projection to the chin thereby creating harmony and balance to the lower face.  Using the same incision, liposuction can be performed to reduce the fat and further shape the neck.  Excess skin, from below the chin, can also be removed through the same incision.  
 I have found that placement of a silastic chin implant, through a small curved incision under the chin (also allows excess skin removal) to be very safe, quick, highly effective and far less invasive than a sliding genioplasty (requires extensive tissue dissection, bone cuts and placement of metal screws and plates to secure the cut segments of bone).  I perform chin implant surgery in 30 minutes or less, often using a local anesthetic alone.  In my opinion, you are a good candidate for chin implant surgery.  An experienced facial shaping surgeon can use precise placement of a dermal filler to properly shape and augment the chin but this will be far less cost effective over the years versus a silastic chin implant.
 When consulting with surgeons perhaps ask not only is your chin weak but do they have experience performing chin augmentation?  The attached video shows how I determine whether the chin is weak.  The second part of what that surgeon said is absolutely correct.  The selection of the proper size, shape and thickness as well as the proper placement of the silastic chin implant are all "key" elements in creating a naturally looking chin.  If too large of an implant is used in a woman, the chin can look relatively masculine.  That's where experience, performing chin implant surgery, comes into play.
 In my opinion and experience there is no need to secure a silastic chin implants with sutures and screws when the following conditions are met:
 * Select a silastic chin implant ( I prefer the EAC) that doesn't have too much projection (thickness) as this becomes a problem stabilizing the implant under the periosteum when the implant is too thick.
 * Place the implant through a small curved incision under the chin which allows direct access to the periosteum (under the mentalis muscle) while preserving the muscle attachments.  This prevents upward migration of the implant which can occur when the intra-oral approach is used that severs the muscle attachments.
 * While the center or body of the chin implant should be placed at a perpendicular angle the chin bone in order to provide the proper forward projection to the chin, the "wings" of the implant should be at a lower level and follow the inferior (bottom) edge of the jaw line on either side of the chin.  When properly dissected and placed, this will be below the mental nerve foramen and be just wide enough of a dissection to accommodate the tapering wing.  There isn't enough room in this technique to allow the wings to migrate upward and contact the mental nerve.  In contrast if the dissection, along the sides of the chin (jaw line) are performed too high...this will place the mental nerve in danger and if the side dissection is too wide, the wings will have a space within which to migrate upward.
 * We have all of our chin implant patients avoid touching and feeling their chin implant for 1 month post op.  We also ask that they sleep on a U-shaped airline pillow for the same time.
  Our experience when following the technique described above is that the silastic chin implant does not need to be secured with sutures or screws and does not move.  I have placed silastic chin implants in military, SWAT, LE, professional fighters, as well as actors and many regular people who are active.  In addition, I have had the opportunity on numerous occasions to replace silastic chin implants (placed by others) that had been screwed into the bone.  During the replacement it was evident that the metal screws pushed right through the soft silastic implant as it was tightened down on the hard chin bone.  Which makes perfect sense.  So in the long run, these fixation methods alone are no guarantee that the implant won't move.  Proper placement, proper implant pocket creation and meticulous closure of all the tissues layers is what is required in my humble opinion.
 I prefer placement of a  silastic chin implant through a small, curved incision under the chin (submental) instead of through the mouth for the following reasons:
*The submental approach is sterile while the intra-oral approach is not.
*The submental approach requires limited dissection as it is much closer to where the chin implant needs to be placed along the center (front) and lower most sections of the chin on each side (where the wings are placed).  The intra-oral approach by contrast requires dissection all the way down the entire section of the chin in order to reach the same areas for chin implant placement.  This leads to several issues in my humble opinion.  The attachment of the chin muscle to the bone must be cut during the tissue dissection, the sensory nerves (mental) and motor nerves (marginal mandibular nerve) that move the muscles of the lips and mouth) are all in much greater jeopardy of injury because of the added dissection required.
 There are numerous shapes and sizes of silastic chin implants, some of which are rather old shapes that do not yield the desired "natural" aesthetic results.  The Curvilinear shape is an example that is similar to the old "button" implants (had no wings or lateral tapering elements of the newer EAC design) that created a "pharaoh" shaped chin.  The EAC or extended anatomical chin implant style offers, in my experience and humble opinion, the most natural, aesthetic result when augmenting the chin.  
 Which is better, chin implant or sliding genioplasty.  We place silastic chin implants through a small, curved incision under the chin using local anesthetic in 30 minutes or less.  This is "far" less invasive than a sliding genioplasty that requires cuts in the bone with plates or screws.  For that reason and because the aesthetic results are so good with a properly placed silastic chin implant of the correct shape and size...in my humble opinion there's no comparison.  The chin implant is quicker, easier, with far less surgery and healing, less unwanted side effects with results that are highly effective and reliable.
Hope this helps.