technically you can. why? 2 words: Satoshi Nakamoto.
It's arguable that the things that Satoshi has never actually implicated his real life identity. His likely use of a VPN/Tor has probably made it much more difficult for people to trace him. His involvement in Bitcoin was primarily on the development and his use of obfuscation techniques probably helped his anonymity tremendously.
I doubt that would be the use case of an average joe when they use Bitcoin.
that's true, that is why i said it is a very hard task. but at the same time Satoshi did everything. he wasn't just the developer who wrote the code, he was also a miner who found many bitcoin blocks and also he made on-chain transactions. communicated with people over the internet and through email all the while staying anonymous.
so the possibility of being anonymous is there.