Is it possible to make Asian eyes look Caucasian? (Photo)

Yes, I could make your eyes look similar to the photo, but it would look funny on you.  I would suggest the middle way.  Could do an incisional double eyelid with fat removal and a moderately high crease and an epicanthoplasty to thin out the appearance of a widened nose bridge.  Your eyelids would still look natural, like what is seen on other Asians, but the eyelids would look a lot less "heavy" and bridge of your nose would look less "wide."  Your eyes would become quite wide with just the extra skin and fat removed from them.

Rather than pursue surgery, which would be an expensive and irreversible endeavor, I would recommend looking first into hair and make-up changes to create the look you are going for. 

Some of the responses you've received saying "yes you can, but. . ." are sort of accurate.  You can create a visible crease.  You could possibly create a nice looking parallel crease.  You would look VERY different and a change like this is forever.  
The goal isn't to look white.  What's the real goal.  Just to have the most noticeable crease possible on your face but still done tastefully and safely?
Think about he specifics of why you want to change it before doing anything.  Make up goals, etc.
I make very dramatic looking creases all the time but for some very specific reasons for the patients.  Make sure you have clears reasons for doing this beyond just getting a more noticeable crease.I liked Dr. Yoo's answer best.
Chase Lay, MD