Does the solution mean more cats?
Chicks, on the other hand... but that's why chicks aren't free ranging.
Also, an adult (egg-laying) chicken will weigh close to what a cat weighs. Cats have a plentitude of much easier prey.
Chicks would be fair game, but most people are raising chicks in an incubator setting. (Chickens are not great mothers, and you'll have a lot of attrition even in the absence of predators.)