Yes. So for example Mina’s Sandshrew is level 28, this means Mina could tutor her Sandshrew with Bulldoze (which the species can learn at level 18 in Gen VIII).
I will note that you have to stick with the move list for the same form/regional variant for the Pokémon you’re tutoring. Using Sandshrew as an example again, this means that Mina CANNOT tutor Sandshrew with Powder Snow, because that’s specific to the Alolan variant.
Also it has to be a move list from a mainline game.
This was my compromise between keeping the whole game stuck in Gen IV forever and re-writing the laws of physics once a week in-game.