For almost all mons, no, not really.
If in LGPE => Get LGPE level up moveset
Else in SWSH (but not in LGPE) -> Get SWSH Level up moveset
Finally, if in USUM (but not in LGPE nor SWSH) -> Get USUM level up moveset
The only exceptions are Pokemon that have their main form in LGPE that are also regional variants
(Like Alolan Vulpix, Galarian Ponyta)
There was a glitch where those mons would instead get the level up movesets from their main forms.
However, an invasive Pokemon HOME update fixed those moves (in HOME, in your save, in your daycare, in your pokejobs, all fixed).
However, that update did create some oddities with certain moves. (something about learning TR moves without TR flag I think?).
But anyhow, it's all moves a mon could learn.
So no unique moves from GO.
(Also, Pokemon transferred from GO don't retain their GO moveset, if the above portion ain't obvious enough >< )
Gen 3 Japanese Shiny Mew obtained via the real life event, by yourself, without hacking nor injecting.