Even in a restrictive sense of "Asian-American" as meaning those of Asian descent who grew up in America, there are a few presumably Asian-American minor characters on the show, perhaps most notably the Indian "brogrammer" (played by Aly Mawji; imdb is oddly inconsistent as to the character's name, switching between Aly Dutta and Naveen Dutt). But yes, more Asian-American representation would be good (in particular on a show reflecting the demographics of Silicon Valley, but also on TV in general).