Survive for 10 days..... really not much more than that. Just keep your health up by eating and drinking plenty of food and water. This is pretty easy to acquire just while simply gathering supplies, building a raft, and leveling up your skills. I went to sleep on the night of the ninth day, and when I woke the ‘cheevo popped for me.
I was able to combine this one with Gone Green, Island Hermit, and Fish are Friends, as they all have a 10 day requirement.