(Technically there's no federal government, period. There's just the bureaucracy and the party. The party's leadership determines policy, the bureaucracy carries it out. Local decisionmaking exists when micromanagement reaches its limits, and ultimately it is a system of gap-filling. Or, in a sense, it's a system that the 9th and 10th Amendments of the US Constitution anticipated and therefore needed to be addressed, 200 years early)
Yes there de facto is, especially due to the post-Mao reforms.
If you want to dig into how Chinese federalism works, I'd recommend these sources [0][1]
[0] - https://cjil.uchicago.edu/print-archive/cooperative-federali...
[1] - https://mitpress.mit.edu/9780262534246/how-reform-worked-in-...