Do you mean that you will be with the weather station on the remote island? Or do you mean the remote island is uninhabited?
If the island is uninhabited without wifi then it will not work.
Weatherflow will be building a remote system that requires mobile telephone service which does not require wifi but is more than a few months or more away.
If you are on the island then it is possible to create a wifi hotspot using a raspberry pi to receive and display the data without connection to the internet. It is not a simple setup like the typical Tempest install.
This example that requires some effort and technical skill to set up can work remotely: ArchiveSW - Display & Data Archive Storage
cheers Ian 