No, catcher’s interference does not count as an at-bat.
Catcher’s interference is a play in baseball that occurs when the catcher makes contact with the bat while the batter is swinging, or if the catcher hinders the batter’s swing in some way. If catcher’s interference is called, the batter is awarded first base as if he had been hit by a pitch.
In terms of at-bats, catcher’s interference is not counted as an at-bat for the batter. An at-bat is defined as a plate appearance in which the batter does not reach base due to a base on balls, a hit by pitch, a sacrifice bunt, a sacrifice fly, or defensive interference. Because catcher’s interference results in the batter being awarded first base, it is not considered an at-bat.