No, the basic mechanic is a lead climber and a follower. While the leader climbs they are belayed by the other from below, and they place projection as they go.

No, the basic mechanic is a lead climber and a follower. While the leader climbs they are belayed by the other from below, and they place projection as they go. Then they reach a good point and setup an anchor where they then belay the second climber from above. The second removes, cleans, protection as they go until they climb to the anchor. Then they climb the next section (they can switch off who's leading or not depending on preference). Also, pitons are rarely used these days except for in some types of big wall climbing. Typically rock climbing protection uses cams and nuts, which don't mar the rocks the way pitons do.