Yes, but it's not called a club. It's called beijing beijing Weikai Sports Chess Team, with Jiangchuan, the highest level at present, and Zhang Qiang, a famous chess coach. There are also Chinese chess houses in Beijing, including China Chess Branch.

Of course, these are very professional. If you want to learn chess, there are many chess schools to go to. Specifically, you can search Baidu: Beijing/Chess Academy.

China Chess has its own professional league, the national first-class chess league, and the system is perfect. Beijing beijing Weikai Sports Chess Team is one of the old teams.