Of course! I used an old gazebo cloth for hanging shade for my ducks - and when combined with the misters, it made even 103 degree weather perfectly tolerable.
Misters do make a faint hiss when they're running, so it might spook them a bit. I agree with @jthornton about the treats. And if the...
I would put it along the porch (they probably hang there because it's the coolest) and then I'd stick two t-posts in the ground at an angle and hang either shade cloth or an old sheet to give them shade for the afternoon. You definitely don't want the sun beating on them at the hottest part of...