No banks doesnt support bitcoin, if they find you are using them to trade or invest over crypto they will find a way to frozen your funds or close your account or terminate it, soo no banks are part of bitcoin support, they like the blockchain technology but not interested into bitcoin.
Banks does not automatically accept bitcoin without the guidelines to follow, it should be the government to draft a complete
guidelines before the bank will accept bitcoin. Also, I doubt they will because it is not a currency, it is just a payment system which
will rely on fiat alone.