Considering that most people nowadays often find it hard to store and protect their cryptocurrencies, it's best to delegate the responsibility to a middleman. A bank of crypto would fit the bill nicely, as people would be able to secure their cryptocurrencies without ever having to follow the necessary precautions to prevent hacks or theft. As long as the bank of crypto is highly regulated by the government, then it'll be here to stay for a long time. Still though, not everyone will agree to this as it greatly defeats the whole purpose of crypto and Blockchain technology. The idea of a bank providing crypto services would only prove to be viable for newcomers into cryptocurrency. People who're experienced in crypto, wouldn't need this in the first place.
Nonetheless, do you think that a Bank of Crypto will happen anytime soon? If so, why?

I don't think that it will happen soon, the government doesn't support cryptocurrencies because it has no tax, they will not get any advantages from cryptocurrencies so that take cryptocurrency as one of their competitors. If the only the government will support crypto many people especially big investors will surely invest and enter cryptocurrencies in the future.