No doubt they take some. Pheasant chicks have the whole spring to fall period before they can fly that they are susceptible to ground and air attacks.
But there is probably no more successful predator on from song birds to young game birds to cottontails than feral cats. At least in some areas.
https://forums.bowsite.com/TF/bgforums/thread.cfm?forum=1&threadid=478769
