Yes. If the official scorer deems that an out would have been made had another fielder not made an error after the player who would have gotten the assist played the ball, the assist is given.
If the first baseman drops a throw from an infielder that would have made an out on a ground ball, the infielder is given an assist and the first baseman is given an error. If the catcher throws a perfect strike to second base to catch a runner stealing and the second baseman drops the ball allowing the runner to be safe when he would have been out by five feet, the catcher is given an assist and the second baseman is given an error.
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