Yes, depending on your local predators. But we covered it with a thick mesh shade cloth (80%) and others would cover it with a tarp.
And we had to go thru all of this gymnastics to avoid creating a run with a roof so we wouldn't run "a-fowl" of the city ordinance that limits how many...
We built a predator proof run using the chain link kennel by attaching 10' galvanized pipe across the top, creating "rafters". You can buy brackets to attach pipe to the frame, creating a T-shaped joint, without drilling or welding.
We then used the rafters as support for the predator proof...