No, Ameraucanas lay blue.
And some EE's lay blue, too. Remember, some hatcheries actually carry the stock of which our Ameraucanas originated from. . . . They're the original mutts we brought over from Chile. Of course, hatcheries have now crossed them out so much, but still, some are a little more true to the original "Quechua" breed.
And, some Araucanas don't lay a good blue at all, and thankfully some Araucana breeders will fess up and tell you that - One really good breeder up in Bellingham does it for the body and show qualities, not egg color, so even hers are on the green side at times.
Easter Eggers, being mutts, can lay blue or green or olive green, and of course, brown too. (Which nulls them from being called Easter Egger, as it means a bird who has the blue egg gene but is not an Araucana or Ameraucana. . . But, they're still EE's if they came from a hatchery and lay brown eggs to me, because they're basically just the offshoot of breeding too many production layers into their original blue egg laying EE's.)
As a last note - My only hatchery bought Easter Egger hen lays light brown eggs. . . But still has the body type, plumage color, and muffs and beard of an Easter Egger.