Yes it think they will react, if Acetic acid is hot and concentrated, and iron is in form of steel wool. It will produce Iron(III) acetate and hydrogen, and left over will be small amount of carbon....
METAL REACTS WITH CARBOXYLIC ACID BY REPLACING THE HYDROGEN WHICH IS ATTACHED TO THE OXYGEN ...FOR EXAMPLE:
Na REACTS WITH ACETIC ACID Na+CH3COOH=CH3COONa
however in the case of divalent metals for...