Fat transfer to upper eyelid? My upper eye is getting sunken and becoming multiple eyelid.

Fat can be injected to upper eyelids but less predictable than filler injection. See following video and website link. Filler do last a while in upper eyelids so it is semipermanent.  Fat can still be considered. See a specialist. Skype consult available.

The hollowness of your upper eyelids may be do to volume loss in the orbit around the eye - allowing the skin to collapse into the hollow. Fat injections offer a relatively permanent correction to the hollowing, however, irregularities are more difficult to smooth and removal is more difficult. Patients often do best to start with filler to initially treat the hollowing. This allows patients to see what kind of improvement can be achieved though injections and allows correction or removal if needed. 
See the link below for more information.
A detailed examination will help delineate the best option. Consultation with a surgeon certified by the American Board of Plastic Surgery would be the next best step.

I suggest before you undergo a permanent fat grafting procedure to your eyelids you have it done with a temporary and reversible filler like Restylane first. This way you can safely ensure you are aiming for the look you desire.

Fat is often used for volume augmentation of the upper eyelids.  However, it has to be done by an experienced surgeon and it has to be done conservatively (i.e. It's better to do it over multiple sessions vs overfilling it in one session because it can be difficult to correct if it's overdone) Depending on what you need, sometimes it's combined with an upper blepharoplasty for the best results.  Good luck! Goretti H. Taghva MD

Fat grafting provides a more permanent solution to the issue you are facing. However, I would suggest that you try using a filler such as restylane before you go for the permanent option just to make sure you receive the look you are going for. Fillers used in the eyelids last longer than when applied anywhere else. That said, you can still consider grafting as long as you get it done with the right surgeon and are certain about the look you want. Good luck!

Fat grafting can be a great option. It is a relatively simple way with long lasting results. Survival of transferred fat in upper eyelids seem to be greater compared to other areas of the body.