I ask this because after looking through GTS offers in Pokemon HOME, there's a crapton of offers asking for a Mr. Rime at level 1-10.
Knowing there was an update to remove certain illegal askings recently, is level 1-10 Mr. Rime actually possible?
Ummm... I am pretty sure it isn't. Mr. Mime evolves into Mr. Rime at level 42.
Source: https://pokemondb.net/pokedex/mr-rime and
If there was a way, I am sure it would have been found, so I am pretty sure it's impossible without hacking.
Edit: It allows you to ask for the Pokémon, but it won't let you receive it. Source: I just tested it.
I don't think it's possible as Galarian Mr. Mime evolves at Lv. 42. There's no friendship gimmick or anything.