Can I do anything to correct this asymmetry and make my eyes look as close as possible to the before photo? (photos)

The standard upper lid operation involves removing the "excess" skin. However, standard surgery does not address the crease and the muscle detachment that is part of the aging process. Your     current situation reflects this situation. You have a loss of the crease and slight droopage of the upper lid. Correction will resetting   your  crease  with the anchor  technique and fixing the ptosis. 

You have slight left upper eyelid ptosis plus hollowness. Precise left upper eyelid filler injection is likely the best treatment for you. See an expert.

Your eyelids can always be revised to fix eyelid asymmetries. I would like to advise that your pictures of your eyelids be clear of makeup, including eyeliner, for a surgeon to better examine your asymmetries. I strongly suggest seeking in-person examination with an experienced, board-certified Plastic Surgeon who has thorough understanding of eye anatomy as well as strong record of blepharoplasty procedures. Best, Dr. Anil Shah

Based on your photo, slight asymmetry is visible on your left eyelid, so you may be a good candidate for revision blepharoplasty. The surgery we can improve eyelid asymmetry and make your eyes look more beautiful and natural.