I don't think so, Bitcoin is a supplement to what banks has. Crypto are created to be an alternative to Fiat and not in competition would what current really is. So for me, Fiat and cryptocurrency share the same perspective and that is to serve as the means of doing transactions online and in traditional ways.
Yes, both of them are very important to our society, we need both to have a smooth and successful transaction, just that the benefit of one outweighs the other, the benefit cryptocurrency brings in its operation will make people have more attention on using it as a payment system to that of cash.
Cash still has a little role to play and as long as cash is in existence, bank will always function, provided it is still the legal means of making paper payment, no matter what, even till decades time, there are so many people that will not be technology inclined, so they will still have issues in using BTC as means of payment leaving it to those that are technology inclined. So I see a balance between the 2 of them.