The word cobbler typically refers to one who makes and mends shoes.
There are no categorical antonyms for this word.
However, one could loosely use any profession unrelated to cobbler as antonyms, e.g., teacher, cook, police officer.
Alternatively, in British English, cobblers is an informal noun used to describe something non-sensical or untrue, e.g., "That's a load of old cobblers!"
Noun
Opposite of spoken or written words that are absurd or meaningless
