You are thinking of a Lost
island. Go watch Cast Away
. Islands are usually not the paradise that some movies make us believe.
There are no white beaches, instead there is flotsam. There is no gourmet food, you'd probably have to live on coconuts and seafood you'd have to catch and prepare yourself. You don't have a doctor, so you better hope that you don't have too many accidents. Being unable to walk means that you would likely not be able to get food, so even a strained ankle can get you into serious trouble. There'd be creepy crawlers and maybe dangerous animals...
How long could you live without being able to entertain yourself? How long could you enjoy a tropical island's sunset? You might survive, but would you live?