Plenty of cryptocurrencies are private: Monero, Dash, Zcash, Beam, Grin, etc...

I actually prefer using the public ones when I want a paper trail. But I've got a stash of the private ones in case I ever need to relocate to a different country one day in my life.

There's no such thing as a wallet hash. A wallet consists of any number of individual keys that cannot be linked together except through using them together in a single transaction. Yes, careless use can link your identity to one or more keys, but software can help prevent that. But if you use a P2P wallet, there is no equivalent of your bank that can see or censor all of your transactions.