Would it be theoretically possible to get some legendary and mystical Pokémon (Mew, Mewto, Arceus, Genesect, Entei, Kyogre, etc.) on the Nintendo 3DS by hacking the score (I know you can), then open them Transfer Pokémon Bank and then transfer it again to Pokémon Home.
In short: why this detour? Because you can't manipulate saves on the switch, as they are checked via My Nintendo (but the 3DS does not).
The bank recognizes cheats and hacks and blocks them directly.
This is possible (with the help of a cheat module), provided you can get the Pokemon in the form in which you transfer it. I never really tested whether this was really true. I only moored this using a smoothed arctic, because I couldn't transfer it to Pokemon Bank below level 50, when it was above level 50 it was easy (by the way, this was on Pokemon Yellow Virtual Console). And maybe only until Gen 4 games, at least I could only transfer Pokemon not legally obtained if they were on a Gen 4 game.