definitely not now but certainly in future. Banks are looking at bitcoin as a huge threat to their business. With bitcoin's market cap crosses 100 billion mark which has not been channelized in banking sector, they started believing that bitcoin will most certainly ruin their business. So they are not going to accept the profitability of bitcoin in public. Instead they will refer bitcoin as a bubble and speculation scam.

However, digital currency is the future of our economy. So no banks will have the power to ignore that. But I doubt they will ever recognize bitcoin, instead they will try to release new products on their own blockchain. The blockchain technology will certainly be used for better scale-ability and transparency, but not bitcoin most probably.