If you can get crypto currency, maybe yes in some cases. Currently available currencies are not anonymous, but pseudonymous. You can track who transacts with whom.

To help with that new laws were passed.

If you want to buy crypto for fiat currency legally, like on some well known crypto exchange, newest laws require naming recipient of crypto you are sending and if that wallet is self hosted or exchange hosted (and which exchange). You either need to provide full name of person or company, or confirm it’s your other account you are sending crypto to.

There is one actually private crypto, it’s monero, but - surprise - it’s nor available on legal crypto exchanges so you cannot buy it by any official means.