Governments aren't going to ban Bitcoin now. It has become too big to fail now. Billions of dollars have been invested into Bitcoins. Government isn't going to straight out ban a thing with such a big market cap.
Unfortunately, government doesnt care about marketcap.
They have power to create regulations for their own country as they see fit.
So, yes it is possible and some countries will like we can see now.
But bitcoin, again, is to big to fail. They can ban it, but they surely cannot kill it