Can Any Surgery Fix my Asymmetrical Eyes?

Your eyes are asymmetric because your right eyeball (globe) is more prominent than the left and your left eye is lower than the right. This has to do with how the eyeball sits in the eye bone.
Differences such as these are normal and do not warrant surgery. I am sorry they cause you so much distress.
In cases where eye asymmetry is significant, camouflage procedures can be done, to adjust position of the lower or upper eyelids, but greater variations would have to be present.

There are multiple anatomic abnormalities that can result in asymmetry of the eyes and face. These may include deformities of the orbital bones, eyelids and eyebrows. In most cases, they are relatively minor, but in some cases, they may be severe and extremely noticeable. Depending upon the deformity, treatment may or may not be possible.Although it's hard to know exactly what's going on from your history, I suspect you have boney orbital asymmetry. This is confirmed by your history of an enlarged right cheekbone and eye.Asymmetry of the facial bones can be a major contributor to facial asymmetry. When this occurs, it's not unusual to have one side of the face that has a depressed orbital rim and flattened cheekbone and an eye that appears smaller than the opposite eye. These findings are often related to a condition called plagiocephaly.Unfortunately, it's not possible to correct this type of deformity without major surgery upon the facial skeleton. This type of surgery wouldn't be justified for a relatively minor deformity.If you're concerned about facial asymmetry, it's reasonable to consult a  board certified plastic surgeon. This surgeon should be able to address your concerns and alleviate your anxiety.

Facial asymmetries are very common in Caucasians and Asians, particularly in the eyelid area. There are many factors that contribute to this including the shape of the eyelids, eyeball, and the shape of the bony orbits. Asymmetrical surgery can be done to improve the symmetry of the eyelids. Many famous people have significant facial structures asymmetries and never have anything done about it.