Many (ethnic) Chinese people take Western first names and go by them in the West and/or non-Chinese language environments, so yes, this is quite common. For example, Lee Kuan Yew was Harry Lee to many British acquaintances. (Note that the surname is first here—people vary in which order they put the names of Chinese people—and there are two non-family names, which is common for Chinese in Taiwan, SG, etc., but not in the Mainland.)