Yes government can kill bitcoin in the way how they want to do it for example if there no more people who are appreciating bitcoin they can kill it easily
In fact, it is very easy for the government to eliminate Bitcoin! Close all trading institutions including exchanges and wallets. Fully block the wording of Bitcoin above the search engine and the rest of the Lenovo extensions of Bitcoin
There are many other ways as well by countering the people for using the bitcoin, but why would governments do that. In fact, there are a lot of countries where a lot of people are involved in the trade related to the crypto currencies and if the governments are going to do anything against them, then surely they will face the pressure from the public. So in my opinion, no government of any democratic country will finish the crypto from their country with such a hard stance.