I have round eyes & I would like to have almond shaped eyes. Can I change my eye shape? (photo)

It is definitely possible to change your eyelid shape.  Most often this is performed with a procedure known as a canthopexy.  This procedure is not insignificant and does carry some risk, such as lower lid drooping or issues with eye watering.  I'm guessing from your photos that you are young...the choice of this procedure is a huge commitment for your age, as it can weaken the natural attachments of your eyelids long term.  Its possible to achieve the appearance of having more of an almond shape with some techniques of eye-makeup.  As you can see from the models picture, the corners of her eyes are accentuated with makeup techniques that augment her almond shape.  I would start here...this is a low-cost and safe alternative.

Generally patients cannot get surgery done to change the
shape of their eye. I am sure that there are some doctors who would be willing
to operate. However, the results would not be optimal because that type of
surgery is not one with good outcomes. 

It looks like your lower eyelid margin laterally is a little low giving your eyes the appearance of having  round rather than almond eyes. A canthopexy would significantly give you an almond shaped eye.

Yes, it is possible to change the eyelid shapes.  Your eyes could be made less round by a lateral canthopexy procedure that requires a small incision at the outside corner of your eyelids that sutures the lower eyelid tendon more superiorly to raise the lower eyelid.  I would not necessarily recommend this for you in seeing your pictures, however.  Getting perfect symmetry and the appearance of a probably "photoshop'd" model can be very difficult and you may not achieve your expected results leaving you potentially frustrated and having gone the risk and expense of surgery.  Oculoplastic surgeons perform these routinely for multiple reasons both cosmetic and reconstructive (to improve eye comfort), but your provided photo shows a nicely shaped eye already.  Oftentimes, carefully applied makeup can accentuate your eyes to the effect your are desiring.

While it is possible to change the shape of the eyes by altering the structures supporting the eyelids I would advise against it because of the potential complications. If you decide to proceed with the operation I would suggest getting at least two opinions and researching the subject more. The picture of the model that you presented is obviously posed and altered. Many problems are created in an attempt to achieve a specific goal that may not be advisable.