If only they can substitute the fiat money with something better. And no, Bitcoin is not any better, it has the same major problem that gold had when it had been money, i.e. money supply totally detached from the needs of an economy...
Credit money is perfect in this respect, but it is easily misused and heavily abused
The Italian Renaissance and 18th century Scottish free banking era had great economic progress without managed money. "Managing the money supply in accordance with the economy" is precisely equivalent to central planners' argument that if they don't control the production of food, people will starve.
There's nothing intrinsically wrong with credit, and it's an engine of growth. The key is whether the state gets involved in propping up its value, and in deciding how much it's like money. Once the state (and its banking allies who help it hatch the schemes) gets involved, the system becomes inherently unstable (as opposed to just abusable.)
Without elite intervention, prices tend to adjust healthily to the economy. Historically, this is not the case 100% of the time. When Spain found mountains of silver in South America, Europe experienced a lot of inflation and Spaniards became wealthy. This might not have been fair, but these disturbances were self-limiting rather than toxically contagious.
Probably, if faith in our monetary system collapsed overnight, and people wanted nothing but, say, gold, there would be a lot of economic pain. (Milder versions of this have happened throughout modern history.) But the root cause of the problem is not, as widely reported by mainstream economists, the sounder money that people flock to. The cause is always the financial asset bubble that occurred before the collapse, which is driven by the incentives faced by the elites under state-controlled money, in the first place.
Distortions always cause malinvestment, and the worst kind of malinvestment is probably in people. The artificially highly valued dollar and the need to invest vast sums of created dollars at anything that might become a good business is building a large cohort of well paid finance and IT professionals in the US, and others who depend on their purchases. If the dollar returns to free-market determined value, most of these people won't know how to supply whatever little demand there will be in the new economy.