Nope.
The .22LR not at all, and the .22WMR ineffective past about 75 yards, and a bad idea at that. There really isnt a good rimfire predator round. .223 is the best/cheapest combo. Other then that, 22-250 is a good choice.
Thats not to say you cant with a .22WMR, you just cant really gurantee a good clean kill.