Corneal and other Eye related transplants

Corneal transplant is not only possible, it's a procedure, which is more then a century old.
It is commenest in all eye-related transplants.
Other transplants include -
Amniotic membrane transplantation (AMT) for the Sclera or Conjunctiva.
Eye lashes implant
Eye lid and Tear duct implant
Retinal Pigmented Epithelium transplant by stem cells.

Corneal transplant 

Pic Credited - Ashith Tripathi