From the furthest I can fly to
I'm not an expert in long-distance shipping but I would assume it would be much easier (and probably cheaper and faster) to have a container acquired, loaded and shipped from, say, Auckland to Chile compared to trying to acquire, load and ship a container from a godforbidden small island somewhere in the middle of the Pacific to Chile.
Supply, demand, infrastructure, knowledgeable people to help you de-rig the plane are just a few of the factors I can think of.
In any case, this is something I would investigate before setting off.
(And that's not even considering getting off that little godforsaken island yourself. From Auckland you can be home in about 24 hours, but from, say, Easter Island? Or are you going to try and travel with the same container ship?)