Is it possible to correct my hollow eyes that (kind of) stick out from their orbit? (Photo)

Dear doctors, I have a big esthetic problem with my eyes. I always thought that I lacked of fat around my eyes, which makes my eyes very hollow and round. It makes me look tired and older than I really am (early twenties) Now I think it may be because my eyes stick out too much from my eye socket. I would like to know if there is an operation that would set my eyes deeper in my orbit, and make my eyelids "fuller", less hollow? Thank you for your answer, that's really important to me.