Flareon, Jolteon, and Vaporeon need stones so no for these two.
Umbreon and Espeon I'm pretty sure is on of those "Love for the trainer" evolutions and it also relates to the time of day.
You can us an exp share for evolutions like Leafeon and Glaceon because you need to level up Eevee near the moss stone and the (i don't remember) stone.
So if Eevee leels up near those stones it can evolve. So if exp share levels up eevee then it will work.
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give the exp share to a weak Pokemon when you use any Pokemon to fight exp goes to the fighting Pokemon and the 1 with the exp share.
use a firestone on eevee
You use a water stone on your Eevee.
Eevee use stone to evolve
Eevee doesn't evolve into Umbreon with a stone. Eevee evolves into Umbreon when it is levelled up with high happiness during the night.