Naw. Give it a month and it’ll be fine.
Figure a week from now they could have universal infection - less if they intentionally make each other sick. Add two weeks for most infections to run its course. Add a week to be safe. The sick should be cared for on board until healthy or otherwise. Then they could all fly home like normal non-infected people.
It’s different than a mega cruise ship with thousands of souls. It would take too long for an onboard universal infection.