I'm sure there are many places like these - only resupplied by ship or plane depending on weather conditions and all.
I've been to several more or less remote locations, and the shift is from 'worry about what we dont have' to 'lets see what we can make of what we do have' mostly.
About 10 years ago i visited mount kelimutu on flores, indonesia, and spent 2 nights there with a friend. Despite being a tiny town at the time it had a few restaurants with menu's featring several dishes.
Upon ordering it was quite clear that they had none of them in stock - no chicken, no fish, certainly no meat. Oddly the next day several things were provided. As it happened to be my birthday they managed to supply a candle in the morning. They also slaughtered a chicken so we could have that for dinner the evening after.
I'm sure the place is not like it was then anymore.
Seeing the coloured volanic lakes back then was an effort. As i understand right now it is much easier to access, but you need to pay a steep entrance fee. Back then there was no entrance fee at all, but you had to climb the last few hundred feet on foot as there as no road either