You can sort of do this today with iCloud. Add a custom domain and enable the catch-all forwarding, and you can receive [email protected] and it’s forwarded to you.

What you’d lose is the reply-to forwarding feature.

If you mean "set up an equivalent service" under your own domain, that's both less private and more likely to be blocked; there are a lot of services which, unfortunately, only allow sign-ups from big, well-known domains.