I got one shot so I'mma hit it like a sittin' duck

from Capital STEEZ (Ft. Chuck Strangers & CJ Fly) – Cab Fare Lyrics on Rap Genius

Meaning

Got his shot at success & it might be his only shot, so he’s going take advantage of this opportunity

In amusement parks/fairs/carnivals there is usually a game where you shoot at sitting ducks moving back and forth.

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