No, we haven’t made it compatible for the Google Play Store on Chrome OS, so the Play Store won’t allow you to install it.
(My partner recently got the Acer 11 Chromebook, we checked!)
In all likelihood it would probably work fine if we made it available …
But we haven’t been able to test it, and it might potentially cause problems if new users were to sign up from the Play Store on Chrome OS - how would you pass the identity verification, for example? Holding documents up to the front webcam probably wouldn’t work massively well.
So it’s basically just a QA thing. If there was a huge demand for it we might reconsider, but that’s not the case right now.