Is it possible to fix my uneven eyelids without surgery? (photo)

Many different situations can lead to uneven eyelids. Some of these can be treated non-surgically and conservatively, even using some very advanced injection techniques with filler or very precise placement of Botox. Some situations truly do require surgery to resolve. 
It is important that you seek a consultation with an eyelid expert to delineate the exact cause and treatment options.
To ensure you are receiving the highest level of care, seek out a modernly trained, new-school dermatologic surgeon, oculoplastic surgeon, facial plastic surgeon or plastic surgeon who is board certified and fellowship trained in one of these "core four" cosmetic specialties. Membership in organizations like the American Academy of Facial Plastic and Reconstructive Surgery help to identify a highly trained surgeon.
Cameron Chesnut
#realself500 Physician

There are doctors who might try to convince you that this can be done without surgery.  They might even believe it themselves.  However, the only way you are going to fix the asymmetry is with a very precisely double fold surgery.  I perform many of these surgeries each month in my office under local anesthesia.  The recovery takes about two weeks before the bruising has resolved.  For you , the big issue is that you need both a small amount of ptosis surgery for the left upper eyelid and a small amount of skin.  I call this micro-double fold blepharoplasty. Remember that there is no substitute for a personal consultation.  Get more than one opinion and carefully study before and after pictures on the surgeon's website to be certain they do what you need.

Thermage is the only nonsurgical FDA approved device for tightening the upper eyelids.  The treatment takes about an hour and there is little to no down time afterwards.  The results are not as dramatic as surgery but they can be just enough for many patients.  It can help with asymmetry but an in person consultation is needed.