I don’t know of any way to re-encounter static encounter Pokémon, I think it would be cool/nice if you could release static encounter Pokémon and reset their encounter, for example the story encounter with Mew. I wish I could release my Mew and re fight him in the encounter to shiny hunt it instead of having to make a whole new game and play the whole story if I wanted to. Same goes for delta Pokémon like Raltz. Also I am new to shiny hunting in this game in general so if somebody could let me know what pokemon are shiny locked that would be nice
Nothing is shiny locked.but story encounters ate one only.