No, one report goes to each involved instance. So if the reported user and community of the post were in the same instance, a community moderator could “hide” that report from the instance admin by taking quick action. But an additional report would still go to the instance admin of the reporting user and that instance admin could choose to defederate from the problematic instance.
But it’s not an invitation from an owner/occupant. I say it’s no good. Or at least not directly, of course just like with regular police the warrant is useful in coercing an actual invitation.
On the other hand, the implicit invitation offered by the welcome mat by the door does provide entrance.