Of course, but it would be much easier and probably less expensive to catch him with an ultra ball. I've caught him with a great ball a few times when I've run out of ultra balls.
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Have a Fast Ball with you. This ball should catch at first time. If not, stack up on Ultras.
The master ball but i would suggest not using it on zapdos.
You can only catch Zapdos in Crystal by cheating. otherwise it is not in the game
to catch zapdos in pokemon black you have to have every legendary pokemon
Just be paitent and catch it with a pokeball!