If the question is "Is it possible for a white gal to hit on an asian guy?", my answer would be "Absolutely!" We see them everywhere, all over the world. Nothing abnormal.
The more pertinent question here is why won't a lot of white gals hit on asian guys? Ah ha, that is the crux of it. I sense a lot of asian guys feel bitter over this but hey, there are valid reasons.
First off, by and large, gals prefer guys taller and bigger than them. Whether the gal is asian or western, no difference here. The average asian guy is not physically compatible with their white counterpart (this is from the gal's perspective). No offence here, just a fact. A white gal once told me she finds asian guys cute but she's reluctant to go any further because she's afraid in due course, she'd wld feel "too big" for her man. That about sums up everything. It's not discrimination against race but just a preference of physical compatibility. Some of you will surely point out that some asians are big, blah blah blah. Hey, i'm talking abt the average guy. Besides, other factors come into play also.
The other reason is culture and personality. White gals have nothing against asian men except they do find asians not being outgoing enough. In their own words, asian men are simply "too shy". This ihas nothing to do with race but it's about culture and personality.
So, all you asian guys out there. It's not about you being asian. Given an angmo who is slightly built and shy to the core, guess what? The angmo gal will also give him the miss.
Having said that, there are ways to overcome this. For example, a humorous and cocky guy often gets his way with white gals no matter what race/stature,etc he may be.