No, I don't think it can. Bank has a lot of uses in compare to bitcoin. And banks has very different system than bitcoin.
People have more believe in banking system than bitcoin and there are many people who are still not aware about bitcoin.
Bitcoin has a lot more uses than any bank, just the blockchain technology is so revolutionary that is going to change a lot of things. Right now the only problem with bitcoin is adoption.
You are right with it, bitcoin needs more mass adoption but the fact that even though bitcoin has a lot of users already. Many are not going to agree if we are going to make the total phase out of banks. And the government is going to make a lot of complain if their people is not going to use any bank service because of bitcoin, because banks are taxable and bitcoin is not.
The government does not have to complain, they just have to ban bitcoin in their country if they want it. That is why banks will not disappear, the government will back and protect them against any threat.