No, bitcoin can be tried to ban, but technically it's impossible to organize.
It is not possible to control, and therefore punish for using it.
Hence the ban is absolutely meaningless.
And what will be if bitcoin and mining process will be announced illegal tomorrow? I think this is one of ways how to ban BTC and altcoins.
I guess nobody want to have problems with government and police. Bitcoin mining is easy to track if somebody needed (I mean government offices).
So, it's hardto ban bitcoin, but easy to make it illegal and control all processes, isn't it?