It depends. Currently, a “chain plier” is a tool used to remove or install a quick link and is more correctly called a master link plier. A “chain breaker” is used to push the pin from a chain link.

Long ago, there were chain pliers made to push the pins from a chain link. They never really worked that well because the force required to remove a pin is considerable. The Park chain pliers were a little easier to use than then ones like this design