I'd be very surprised if the US isn't performing similar hacks on China. They're probably just better at covering their tracks.
I am no hacking expert, but the fact that the internet is such an open place and knowledge sharing is so widespread, I would lean to the side that they have comparable hacking capabilities as America. I've yet to hear of a reason why they wouldn't other than the standard " 'Murica #1". And given a dictatorship presiding over a massive economy and a valid raison d'etre for such capabilities, there is no reason they cannot fund an equivalent of the NSA