Can Asian Eyelift Surgery Be Done on Caucasian Eyes?

The surgery to create or alter an upper lid crease should be tailored for one's anatomy, not one's ethnicity.  What you are asking is definately possible.  I would recommend seeking treatment by a surgeon who performs a high volume of double fold surgery. 

If a caucasian eyelid has a poorly formed crease, then anchoring sutures are often used. Oculoplastic surgeons do this routinely when ptosis [droopy eyelid] repair is done.

You can find one close to you by going to asoprs dot org

The Asian and Caucasian eye anatomy is more similar than it is different. You are correct that in many cases the crease can become an indistinct line in any race. Furthermore, upper eyelid surgery can sometimes obliterate a preexisting crease if the surgeon includes the crease as part of the skin excision. Dr. Flowers routinely performed his Anchor Procedure to recreate the supratarsal crease in all patients, regardless of ethnicity. As Dr. Flowers' partner in the late 90's-early 2000s I have adopted his philosophy as well. All eyelids benefit from a anchor procedure.