Of course it is technically possible, but doing so would violate the spec.

> The 404 (Not Found) status code indicates that the origin server did not find a current representation for the target resource or is not willing to disclose that one exists.

In the above case, the server _is_ returning a representation.

https://datatracker.ietf.org/doc/html/rfc9110#name-404-not-f...