I don't think so... "Money" really is whatever we choose it to be.
We can use physical commodities as a form of money, like Gold/Silver.
Currency, these days, is typically used as money in the form of Fiat.
Cryptocurrency is a new form of currency, and it isn't commonly treated as money, but instead a commodity.
Money can be both digital and physical as we've already seen. We've had digital money already, but cryptocurrency is a somewhat new concept, at least in the way that its typically not controlled by one centralized organization.
If the internet ever collapses, it's very likely we'll return to physical notes, coins, or bricks of gold.