It is possible, there are sites that do not require account verification, like in my signature, for example. The question is, will many bother and will they preserve their anonymity on the network as much as possible? We have long since left a lot of digital traces on the network, so there is no point in secrecy. Of course, you we create a perfectly clean account, wallets and everything else, but for what? If everything is according to the letter of the law, then there is no point in worrying. One of the few who preserved their anonymity in the cryptocurrency industry is Satoshi, unfortunately, we were not able to do this.