I don't think so, considering the positive trend of bitcoin nowadays, it is very unlikely that it will become worthless. I think it will only become worthless if no one would like to use bitcoin or don't want it anymore. I guess we'll just have to wait and see for now.
I agree, aside from that, bitcoin can be worthless if all of the country will ban bitcoin and if you use bitcoin, you will be in prison for many years. But it will never happen because bitcoin has potential to change our world to live better place.