I don't think so. The financial system has people behind them, and such people have a lot of power on dictating, manipulating things. Manipulating the average person. Crypto could be 1000x better, but that won't do it any good.
No, crypto may be useful in payments but I am pretty sure it could not destroy the financial system or the banking payment system. Banks had establish already and are way too secure but the disadvantage are those high transaction fees being deducted to every transactions especially if huge money were involve.
However, it is still best to make choices, either to use crypto pay or the financial.system that are establish and secured too.
Cryptocurrency is the best solution as an alternative financial system, so I don't know how could crypto will destroy the financial system because it is more secure, fast, and low cost fee. It also already proves that cryptocurrency doesn't get affected in any economic crisis, especially the Coronavirus crisis that only stocks and banks have only suffered from it.