Does a z24 Chevy Cavalier have a carburetor?

no its a throttle body injected engine

smokingallowed say's...Fenner82 is on the right track but not completely correct. His "TBI" engine has 1 fuel injector "squirting fuel strait down into the throttle body", and your Z24 has a multi-port injection system(1 fuel injector for each cylinder) which "squirts" fuel into the intake at the engine head.