The title should perhaps be rather "Could the rest of the world wean itself off Chinese products?" They do seem to be ubiquitous, indeed, rather hard to avoid. The mistaken assumption made about both China and Russia was that the implementation of a capitalist economy would see an inevitable transition to democracy. One guy even wrote a book about "the end of history". The Russians only export raw materials and the occasional weaponry, but China has played it much more cleverly and thoroughly embedded itself in capitalist systems, such that removal of Chinese input would be a major upheaval$. Chinese custom too - I think China is VW's biggest market.
We are faced with the basic problem that every country making everything for themselves, a version of North Korean juche, is possible, but enormously expensive - and, as we have found out with respect to food in the current Ukranian crisis, impossible. And don't forget that China is responsible for about 95% of rare earth production. So, in the short term at least, the answer to your final question is no. But we could do better.
I find it hard to believe that the Chinese Communist system will last forever, but it seems to be doing rather well at the moment, so there seems to be no choice but to live with it.