OK, WTF is up with the "What race do you identify with" Question? Why is every race "non-Hispanic"? Are there Hispanic Asians I just don't know about? Are the Hispanics trying to take over the world? Seems a very odd way to ask such question...
Hispanic has NOTHING to do with race - Hispanic is an ethnicity. So to answer your smart-alecky question, yes there can be Hispanic and non-Hispanic Asians (guess which there are more of).