I think it's possible theoretically only. People are not ready to stop using banks. Peer-to-peer system is like something mythical to them.
The most people would not it understand it also its to difficult to get people to start using the bitcoin, plus its also that they do not know the system.
I think it will possible in the future because everything is gonna be digital in the future so.
Yes, anything is possible in future, if the world goes digital, then people would use more bitcoins rather then depending upon the banks, but again banks will also survive and won't get disappear.