Is it possible for my eyelids too be too thin for surgery?

The eyelid is some of the thinnest skin in the body - this goes for everyone. I would recommend visiting a board certified facial plastic surgeon or board certified oculoplastic surgeon to determine what your specific needs would be BUT in general, the skin being thin is not a deterrent for eyelid surgery. I hope this helps

You will be surprised to see how strong is the eyelid multilayered skin...

On frozen cadaver we can separate these layers for practicing different techniques. for your information the lower lid bleph is obsolete. It is not good for the vision to remove the fat support of the eyeball bulging under the skin.

FAMI stem cells procedure care cure the deformity by injection we call it Bleph21.

Chose carefully your surgeon. 

Making incisions into the eyelid skin involves carefully opening each layer. I generally protect the eyeball with a metal contact lens. Even with this in place, I've never cut through to the metal shield accidentally. If you are in the hands of an experienced eyelid surgeon, they've likely seen just about every different type of eyelid and yours are likely more ordinary than you think.