OTL Hawaii has an Asian population of around 36%, mostly Filipino and Japanese California has 13%, split among Chinese, Filipinos, Vietnamese, Indians and Koreans.
Your challenge, should you choose to accept it, is to make an American state, Canadian province, independent nation, or whatever, and to give it an Asian majority, with a POD no later than the US-British joint occupancy of Oregon Country in 1818 (this being the US's first Pacific territory). For bonus points, make it a specific ethnic group, have said ethnic group's language be sole official language in the region, or choose a POD after the occupation of California in 1846.
EDIT: Just to clarify, as per thread title, the state, nation, or territory must actually be a part of the North American continent.