Is there a procedure to fix asymmetry in my eyes due to astigmatism? (photo)

It appears that you have both drooping of the L upper eyelid as well as a bit too much exposure of the right lower eyelid.  Some of hat is due to the R side compensating for the ptosis on the L.You would be best consulting with a surgeon who has interest and capabilities in the eye area and the mid face to address these issues.

The asymmetry is actually from left upper eyelid ptosis (droopy upper eyelid) which forces the same side eyebrow to assist lifting the droopy eyelid and hence the eyebrow raises. The treatment is left upper lid ptosis surgery. See following video and link. See an oculoplastic surgeon.

By reviewing your pictures, it appears you have a ptosis of the left lid.  This is a condition in which your levator is either stretched or torn and needs correction.  You seem to be lifting the left brow to subconsciously compensate.  This can be improved surgically with a thirty minute outpatient procedure.

Repairing the upper eyelid ptosis may or many not have any bearing on your vision.  However, ptosis repair will help the appearance.  Generally fixing the ptosis will lead to a relaxation of the left eyebrow which has a compensatory lift.  There are two basic ways of doing ptosis surgery: Anterior and posterior.  I suspect that you need an anterior levator ptosis repair with an anchor blepharoplasty.  This is an advanced methods and not available in every market.

You appear to have ptosis of your left upper eyelid.  This occurs when a muscle in the upper eyelid becomes weakened and this causes the eyelid to fall lower across the eyeball than it should.  Normally, this can be repaired with surgery.  The eyebrow is higher on that side to compensate for the lower lid.  I would recommend seeing an oculoplastic surgeon, or a facial plastic or plastic surgeon that has experience with ptosis surgery.