Easter Eggers can lay blue, green, and pink, but not olive or any other color unless there's a mix of some other genes there.
I've had a hatchery Easter-egger lay olive-colored eggs. Perhaps not as deep of an olive color as a purposefully-bred olive-egger, but certainly an olive green color nonetheless. Plenty of people have been disappointed by tan and brown eggs from Easter-eggers they'd hoped would lay blue or green. And, though fairly unlikely, white and dark brown technically could pop up under the right set of circumstances. Just like there aren't really any hard rules about what an Easter-egger can look like, there really are no hard rules for what color an Easter-egger can lay, beyond that obviously they can only lay a color that it's possible for a chicken to lay--so you won't get navy blue or bright yellow eggs from them, for example.
