Can I Change my Caucasian Eyes to Asian Eyes?

Revisional asian eyelid surgery would be similar to what you are asking for.   There was a time when Asian eyelid surgery to raise the supratarsal crease to "open" the eyelid created eyelid creases that were too high.  Unfortunately, this still happens today, but surgical techniques and anatomical understanding have improved.   This "high crease" often led to an unnatural appearance and led to requests by patients to "lower" the crease.   This type of revision surgery can be complex and requires significant experience by the surgeon in treating Asian eyelids.  

Your request is somewhat unusual, but is possible after careful consideration of your aesthetics and anatomy.   Remember, your crease height can be lowered, but it is much more difficult to raise it back should you not like your new look.  

I recommend you find a highly experienced eyelid surgeon who performs significant  primary and secondary Asian eyelid surgery.   

Looking at your eyelid at the moment the crease is slightly higher than what you seem to be wanting. It may be a challenge to make your eyelids look like BoA the Korean singer you've attached the photo there, but in principle there are things you can do to (for instance lowering the crease amongst other things) to make your eyelids look more to your desired shape. This certainly belongs closer outside the "typical" Asian eyelid surgery and I encourage you to find someone who has an interest in this subspecialty.
Wish you the best in your journey.
Dr Leo Kim, Specialist Plastic Surgeon in Sydney

It is possible to make your eyes look more Asian through surgery. However, it requires more than just lifting or narrowing the ends of the eyes. You would probably need to add fat to and modify the shape of your upper lid to mimic the Asian epicanthal fold. Don't rush into this; find a real expert. I hope this helps.