No I don't think so. The number one business for banks is the borrowing and lending of money and they basically have no replacement at least as of now. This particular service that banks provide, the business of holding money, borrowing and lending money is one which has relevance in just about every time and age. It doesn't matter what the currency is, it simply can't just go extinct.

The best thing that could happen is that banks as we know it will simply evolve and adapt to more recent trends in today's financial atmosphere. The blockchain and cryptocurrency for example is something that I'm sure in the coming years will not replace the banking system, but will be adopted by it.