Can surgery be performed to make eyes smaller?

It depends on your eyeball and eyelid positions. See following link. Sometimes, if eyelids are too retracted, then eyelid retraction can help. Sometimes, if eyes too bulging, then orbital decompression can help. 

Thank you for sharing your question about making one's eyes appear smaller. There are a few techniques that might be possible to improve the look of your bulging eyes. You should have comprehensive evaluation in person by an experienced Oculoplastic Surgeon to determine the cause of your problem and possible treatment options.Good luck,

There are several options available to you with orbital and eyelid surgery. The eyelid position can be changed to cover more of the eye (eyelid retractor recession). Orbital decompression increases the bony volume of the socket allowing the eyes to recess into the sockets. If your cheeks/ midface is small, they can be projected with implants or filler. Tarsorrhaphies may help as an adjunctive procedure, but sometimes cause rounding of the lateral canthal angle when used alone. Be sure to discuss your options with an Oculoplastic surgeon, a subspecialist who has training in eyelid, orbital and reconstructive surgical techniques. Best wishes with your decisions.