I doubt it. China saw what happened to the USSR. They're unlikely to make the same mistakes. China is already integrated into the global market, some would say it's indispensable. Regions inside China can't be turned against each other in the same way as SSRs. And while Russia's middle classes yearned for the living standards of the west, China's middle classes have an equal or better quality of life than those in the west; it's middle classes have no material reason to be disgruntled and ask for reforms.
The thing China has to watch out for is its banks, whose power is increasing. We'll see if it fixes that problem. Still, as China's imminent collapse is unlikely, it's something the US will have to work towards in the long term. But every year that passes, China becomes stronger and more resilient while the US becomes weaker.
Maybe there's some room for it but the US is also racing against climate change. We're talking about a state that can't organise its own domestic infrastructural preservation. Every year, the effects of climate change will be getting worse. But while China is preparing for it, the US is not. In ten years time, when Texas is snowed under, California in drought, Florida under water, and Arizona grid-less because the lines melted, too few people will have the attention to do Machiavellian politics with China. At the same time, the more the Chinese see what's happening, the less likely they are to call for reforms.
One option is internal sabotage. But China has been keen on teaching Marxism and in setting up its institutions to make them harder to undermine than were the USSR's central organs. Chinese liberals are allowed relatively free rein. Which means they aren't hiding, making them easier to keep an eye on. I'll be upset if I'm wrong but I don't think Khrushchev or Gorbachov would be able to get near power in China.
Deng masterminded one of its greatest tricks: convincing the west that China was already turning capitalist for long enough to become a superpower. It's a gift that keeps on giving, too, as many western liberals refuse to accept that China is still Marxist. This can only lead to a confused analysis, which will never be the basis of a sound counter-strategy.
EDIT: This may be of interest: Carlos Martinez, Will China suffer the same fate as the Soviet Union?.