Tristan Da Cunha is the most remote inhabited island chain in the world. The closest other inhabited islands are at least 1300 miles away. There are times when the closest other people are those in the ISS.

 

There are actually a surprising number of places on Earth where this can be true. The ISS' average altitude is "only" around 400 km (about 250 miles), and its orbital inclination of 51.6 degrees means it will pass over most of the surface of the earth at some point.

Tristan da Cunha, at roughly 1300 miles (about 2000 km) from the nearest islands, is not just a bit closer to the ISS (when the ISS is near-overhead)--it's a lot closer. The ISS is one-fifth the distance.