​Can I make my right eye symmetrical with my left eye?

You should obtain an in person evaluation by an oculoplastic surgeon. It appears the smaller eye is more sunken than the other (or the other eye is more bulgy). This is likely congenital in your case resulting from underlying bony facial asymmetry.

However, when I look closely at the photo, it appears that there is upper eyelid retraction which is more evident on the right side.  Upper eyelid retraction could cause the brow to fall accounting for what you have noticed.  Perhaps you have always looked like this.  It is worth reviewing photographs of yourself to determine when this change started.  The most common cause of this type of situation is Grave's Disease, an autoimmune disease that causes an overactive thyroid and changes to the eyelids and orbit.  Your primary care physician can do testing to see if your thyroid is normal.  A careful assessment by an oculoplastic surgeon is warranted.  Generally ophthalmologists an optometrists are not equipped to provide this specialized assessment.  The American Society for Ophthalmic Plastic and Reconstructive Surgeons maintains a region directory on their website (ASOPRS dot org) that can help you find a well qualified surgeon.  Yes, there are surgeries that can be performed to increase symmetry.