Super easy. At the beginning of the game, simply stay on your starter island for the first 10 days. Spend the time gathering supplies, building a raft, and leveling up your skills. I went to sleep on the night of the ninth day, when I woke the ‘cheevo popped for me.
I was able to combine this one with Gone Green, Day 10, and Fish are Friends, as they all have a 10 day requirement.