It's possible to go TOR only if you want that level of privacy.
Discussion
Is slow transactions a problem with tor?
I haven't tried it. I can't get a static IP at home, and I don't feel like spending the $$ to spin up another full node on a VPS somewhere. That's money I could buy more Bitcoin with. Plus I'm already spending a bit of cash right now to run a free public Nostr relay in the cloud.