There were no chili peppers in China or Southeast Asia until at least the 1500s according to this article. Chilis are native to South America.

The first mention of the chili pepper in the Chinese historical record appears in 1591, although historians have yet to arrive at a consensus as to exactly how it arrived in the Middle Kingdom. One school of thought believes the pepper came overland from India into western China via a northern route through Tibet or a southern route across Burma. But the first consistent references to chili peppers in local Chinese gazettes start in China’s eastern coastal regions and move gradually inland toward the West—reaching Hunan in 1684 and Sichuan in 1749—data points that support the argument that the chili pepper arrived by sea, possibly via Portuguese traders who had founded a colony near the southern Chinese coast on the island of Macao…

The article also suggests that it might have been Columbus himself who was responsible for calling this plant “pepper”. Because he thought he was in India, and had a habit of naming people and things using words already assigned to other people and things.