No right now its not posssible,BTC is digital currency.Bank accept fiat money.First you have to convert your BTC to cash and then you can able to make this transaction.For this purpose you can sell your BTC to your friends,colleagues,relatives or you can make account on Local BTC and there you can sell your BTC and in this way you bank account receive cash into your account.Right now this is the only way.However if in future banks start accepting BTC in their circles then this will be possible...
Yes in current time it may not be possible but in future we can expect to use bank for our bitcoin transaction. In fact banks cannot accept bitcoin until government will accept bitcoin as legal currency, and only then banks will take a possible step toward bitcoin to accept bitcoin for deposit and transaction purposes, in future we can expect that a time will come when bitcoin will become legal currency throughout the world and then banks will also start accepting bitcoin for transaction and to deposit it.