Oh yeah, as long as you make sure that the interior of the chicken is well cooked it's fine.
It is actually safer to freeze all meat before cooking to prevent bacteria from multiplying as it sits in the fridge after purchase. Only defrost in the fridge or in the microwave, not on the counter on in water in the sink.
Once it is defrosted, you have to cook it, don't refreeze thawed meat.
With leftovers, freeze leftover cooked meat and reheat in the microwave, don't just let it sit around in the fridge for days.
It would only be more of a thing to watch with a whole chicken, but even a meat thermometer would prevent any accidental undercooking.