Possibly. I don't remember that being an option when I was setting things up last time.
From what I'm reading it's sounding like it's just acting as a slightly simplified DNS server/reverse proxy for individual services on the tailnet. Sounds Interesting. I'm not sure it's something I'd want to use on the backend (what happens if Tailscale goes down? Does that DNS go down too?), but for family members I've set up on the tailnet, it sounds like an interesting option.
Much as I like Tailscale, it seems like using this may introduce a few too many failure points that rely on a single provider. Especially one that isn't charging me anything for what they provide.