Actually, no. The CCP is communist only by name. From the Chinese constitution[1]:
> The People's Republic of China is a socialist state under the people's democratic dictatorship led by the working class and based on the alliance of workers and peasants.
The second part of this sentence is arguably false, but they define themselves as strictly socialist.
In the same document, we see:
> Citizens' lawful private property is inviolable.
> The State, in accordance with law, protects the rights of citizens to private property and to its inheritance.
So the abolition of private property, one of the core tenets of communism, doesn't exist in China.
Economically, modern China is built on a capitalistic system, where private companies compete on an open stock market.
The only traces of communism in China is an autocratic government, and some limited benefits for citizens like free basic healthcare and primary education.
Bear in mind, I'm not an expert in politics, nor in Chinese related matters, but if we're looking for a label to use to define their system, communist wouldn't be one of them.
[1]: https://www.constituteproject.org/constitution/China_2004.pd...