'Quiero que comamos pollo' is correct. can it also be said "nos quiero comer pollo"?
No. "Nos quiero comer" would be translated to "I want to eat us", so "nos quiero comer pollo" would be "I want to eat us chicken"...which doesn't mean anything.
You can say: (Nosostros) queremos comer pollo - we want to eat chicken. Quiero que comamos pollo means - I want that we eat chicken. Another meaning.