The Out of Africa Theory, the current best guess, has China showing Homo sapiens appearance maybe 50,000 years ago. Inhabitants of South China sailed to Taiwan around 8,000 years ago. They became the early Polynesians when seafarers left Taiwan 5,200 years ago. A recent Science article provided the following graphic:
The first Christian missionaries arrived in 1820, led by Hiram Bingham, who was the grandfather of HB III, who popularized Machu Picchu. Traders and whalers are blamed for bringing with them diseases, such that the 300,000 Hawaiians had dropped to 70,000 by 1853.
The sugar industry was responsible for the sociology of the islands, hiring workers from throughout Asia and even Portugal. In the 1890's the local elite, meaning Caucasians, imprisoned the author of Aloha Oe, Princess Liliuokalani, in Iolani Palace, and Hawaii was annexed to the U.S. in 1898.