Yes. You can list more than one person as skipper on the crew list, as long as at least one of them holds a valid skipper licence.
Even with several licensed skippers on board, name one person as the skipper responsible for the whole trip. That person makes the decisions and is responsible for everyone's safety.
If you take turns at the helm, agree each morning who is in charge that day. It should be someone who knows the boat and its safety equipment and can handle an emergency.