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.
I am a bit 50/50 on this matter. Some banks are still against bitcoins but some are already accepting bitcoins on a trade for fiat money. I think it will be a smart move for banks to accept bitcoins. They could tax the exchange and earn from it thus promoting more and more banks to do the same.