From the photo you provided, it appears possible that the asymmetry you're concerned about is within "normal" ranges. Nearly everyone's face shows some differences between the right and left sides, when you look closely. Your photo seems to indicate that you have a little more asymmetry around your eyes than many people do, but it will certainly be more apparent to you than it is to your friends.
I assume you may be interested in what can be done to minimize the difference in your case. The right strategy is impossible to recommend without an in-depth examination, but tools could include a browlift, an eyelid lift, Botox and even fat transfer. It's likely that some combination of these would work well for you. Cosmetic surgery around the eyes demands years of experience and a delicate touch! Make sure you look for these assets in a plastic surgeon if you consider making a change.
Elliot Jacobs, M.D.
New York Plastic Surgeon