No, China does not have state capitalism. Presumably, what you refer to as "state capitalism" is the fact that much of the economy is under state ownership. However, there is a fundamental difference between regular capitalism and what you refer to as state capitalism here. The purpose of labor under actual capitalism is to create capital for business owners. Capital accumulation is the driving mechanic of the system, hence the name. Meanwhile, the purpose of state owned enterprise is to provide social value such as building infrastructure, producing food and energy, providing healthcare, and so on.

The PRC is a Socialist economy that is governed by a Communist party. "Communism" as an ideology is the guideline of the CPC, ergo the fact that the PRC has rapidly developed a massive and competent rail system can be seen as an achievement for Communism.

China is not state capitalist, its a mixed economy with the planned socialist sector predominating. See here.