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.

The can be performed as long as your anatomy allows it.  Rearrangement of anatomy and proper suture placement is key.  Basically you need several consults with Facial Plastic or Oculoplastic surgeons before proceeding.  A photo would be helpful.

An upper blepharoplasty can be performed for all ethnicities.  If you do not have a prominent upper eyelid crease, like many Asians, that can be created.  Please  consult with a board certified specialist who can assist you in achieving the results you seek.