FWIW,
I'm a US Born 29 year old 5'7" pilot of Vietnamese background. I know plenty of folks with Asian roots. Of course there aren't as many as there are Caucasian folks, but I can't think of any particular race, religion or sex that I haven't encountered in aviation.
(If a 5'2" female can fly an aircraft, there's no reason why you at 5'6" shouldn't be able to!)