No....the island is full of nutritious trees, plants and herbs.
Pine seeds, Wild cherries, blueberries, walnuts, figs, olives, mushrooms, various spinach and dandelion. Spouse was a child during that era.
Spouse spent last winter last year there in a small house on the top of hill with several weeks of snow.
She lived mostly on wild mushrooms that grow under the snow, (small round ones) or larger flat ones from the forest.
Local farmers have pigs and wild goats for sale.
Her sister once trapped a wild goat with a fishing net trap set up in her vegge garden....goat ended up in the cooking pot.
You missed the part about at least 100 people died of starvation there in 1944.
Read down to paragraph 18,
http://island-ikaria.com/about-ikaria/Ikaria-History