No. They can always print more money. Money is no longer backed by anything other than faith; if people believe money has value, there's no hard set limit on that value
But people do stop believing money has value, or more specifically, their trust in the value of money can go down - you all over the History in plenty of places that people's trust in the value of money can break down.
As somebody pointed out, if one person has all the money and nobody else has money, money has no value, so it's logical to expect that between were we are now and that imaginary extreme point there will be a balance in the distribution of wealth were most people do lose trust in the value of money and the "wealth" anchored on merelly that value stops being deemed wealth.
(That said, the wealthy generally move their wealth into property - as the saying goes "Buy Land: they ain't making any more of it" - but even that is backed by people's belief and society's enforcement of property laws and the mega-wealthy wouldn't be so if they had to actually protect themselves their "rights" on all that they own: the limits to wealth, when anchored down to concrete physical things that the "owners" have to defend are far far lower that the current limits on wealth based on nation-backed tokens of value and ownership)