No, I do not believe that. We must admit that what has allowed banks to acquire so much economic power is their ability to understand where capital is, and make the necessary efforts to keep it.
Knowing that banks will never fight against capital, what I see today is a growing interest of banks to incorporate blockchain technologies into their processes, and because of their marked interest in taking over everyone's money, it would not be strange that in the near future we will see banks willing to accept cryptocurrencies to carry out financial transactions.
Eventually, we will see a lot more banks trying to open their doors to the public by letting them exchange their fiats for cryptocurrency. This is actually good for them because they can put up a 10% service fee to convert their money to tokens. That would be a good idea for banks to promote fiat-crypto exchanging.