The Netherlands seem to be the experts on agricultural innovation. Apart from that I can imagine that the wild pristine environment etc would be a powerful marketing angle for artisanal/organic products of various types. Faroese Gin flavoured with local botanicals and made with pure local spring water? Finest Faroese beef? There's a huge market for this kind of stuff and people love to boast about having tried it, and often the rarer and more obscure the better.
I don't accept that every possible other option that the universe offers has been exhausted, which seems to be your position.
I'm not suggesting you drink the Gin to replace the calories in case this isn't clear - more exports would enable more imports.
This is a very easy statement to make if you're not planning on providing any examples. I did. We can import the food. In my view, this is a worse solution than the current one.
If you have an idea for how to increase local Faroese food production enough to completely offset the energy obtained from whale meat, you should consider coming here to teach us.