As I don't see much information for green Coris wrasses, Just want to put my anecdotal experience. Mine isn't fully sized yet, maybe 4-5 inches, and only has minor aggression, i.e. chases away other wrasses occasionally, but not often, and doesn't go out of its way to do so.
However the issue I have with it, is how it hunts, it does this thing, where it buries into the sand, like it would to sleep, but moves through the sand, flicking up all the sand it can, knocking any corals on the sand above it over, and covering the tank in sand. I've had sand over a foot up on my rock work from this.
It seems to do this to stir the sand so it can go back and pick at whatever it uncovered doing this. its super interesting, but incredibly annoying as when its in a mood it will do it 20+ times a day.