I think no,because the government dont have access in bitcoin.They can ban cryptocurrency but they cannot destroy it.
Yes. I believe that As long as the government youre talking about can handle bitcoin server or they have the access on the server of bitcoin, They can ban it. But, I think its impossible. Satoshi Nakamoto is not in the government to be against in this wonderful creature and masterpiece. And Hw/She will not allow to destroy it. Bitcoin exist forever.