Is It possible to fix my strongly projecting nose? It pulls my upper lip forward. (photos)

Hello. Great question. Thank you for your pictures. Based on your images, you can benefit from a rhinoplasty procedure. Please schedule a consultation with a board certified plastic surgeon for a detailed surgical plan to achieve your desired results. 

Thank you for sharing your photos and concerns with us. First off, there are solutions here so do not worry. I would have you consider the following procedures:
1. Septorhinoplasty - addresses the nose and strong cartilage
2. Lip Lift - shortens the philtrum and improves balance to the face. I have performed many on men and it does not feminize the face. 
3. Chin implant - projects out the chin to improve balance with the nose and lips
Combining these techniques can be powerful and simulation would be helpful to show you a potential result. 
Gary Linkov, MD
Facial Plastic Surgeon
Manhattan

Your nose, as you know, is very strong in its forward projection from your face. The tip needs to be brought back closer to your face. We call that "de-projecting" the tip.When a nose is this strong in its forward projection.it tends to pull the upper lip out forward, too, since the upper lip is attached to the base of the nose. You've identified that. When the tip comes back closer to the face, the upper lip comes back, too.
The woman in the short video that I posted with this answer had the tip of her nose de-projected a significant amount in her rhinoplasty.You have another issue, too. Your bridge is strong up at the top of the nose -- in front of your eyes, or just below your eyebrows. When the nose is strong there, if the tip and bridge are de-projected (brought closer to the face), it's important to reduce the strength of the bridge up there at the top, or your profile would resemble the profile of a Roman statue, where the profile of the forehead slides right down onto the nose, without that little dip we like to see in front of the eyes. Search for Roman statue profile to see what I mean. Your surgeon must pay attention to that, too.
I'd love for you to see some excellent professionally-designed morphs of what could possibly be done with your nose. Morphs could also help you identify what's bothering you, and help you set a goal for the rhinoplasty that's accurate for your tastes. Profile but also three-quarter views would be particularly important in morphing your nose. (Side note: in my opinion, morphs should always be done by the surgeon, or he should direct an assistant as she makes the morphs. Morphs should be made with a constant eye to what actually *can* be done in surgery, for that particular nose, and only the surgeon has that information and judgment.)
Remember that rhinoplasty is an exquisitely difficult operation to get right, and you should only have surgery if you are able to make yourself very confident in your surgeon's skills. You have an exquisitely difficult rhinoplasty. The changes that your nose needs require advanced techniques, requiring skill that most plastic surgeons don't possess with expertise. For most noses, it's much better to not have surgery than to have inexpertly-performed surgery. Read my essay on how to stay out of trouble while selecting a rhinoplasty surgeon. 
Your nose is also a perfect example of why computer imaging is mandatory in rhinoplasty. You need to know exactly what the surgeon is planning to accomplish -- what features he thinks he can change, and by how much he thinks he can change them. I always email morphs to my online rhinoplasty consultations. When you see the surgeon's goals in the morphs, you'll know whether he has an eye for an attractive nose, and whether he shares your opinion of what constitutes an attractive nose. You'll also know whether the changes he proposes are large enough to be meaningful to you, and whether he understands your wishes enough to address all of your priorities. How would you ever get that figured out without the morphs?