I have one eye that is deeper set in the socket. Is there a way to fix this?

It's impossible to give you an explanation without photos and preferably a close examination.  You might have facial asymmetry, which is not uncommon at all.  No human is created completely symmetrically.  nature is full of asymmetries.  If you have real concerns, you should see a plastic surgeon with craniofacial expertise in your town for consultation.

Thank you for your question. There can be many reasons for your asymmetry. Some could be caused by medical conditions which require treatment. You should be evaluated in person by an oculoplastic surgeon for proper guidance. 

Facial asymmetry to some degree is very normal. It would be very difficult to give you appropriate recommendations without an appropriate in-person exam. I would recommend an in-person consultation with an oculoplastic surgeon or a facial plastic surgeon.There will likely be many different strategies available (surgical and non-surgical) available for your issue.