Yes,
I have a nifty square with gromets along the finished sides. I attach it to the run roof. It is a pretty dense shade cloth too. I got it with a dog fence that is something like 16 sq ft -- so I guess it is 4x4 feet. I used it when the dogs were puppies. Now they are grown and can locate their own shade.....so it is repurposed for the chicken run.
I also use a full cover over part of the run that attaches by bungie cords through gromets. It is over the feed and water.
My chickens lounge in the shade. They are very aware of where the shade travels during the day too.