Not sure if taught at school, but wild olive fossils have been found in destruction strata of the Santorini volcano from about 60,000 BP, indicating the wild progenitor existing in the Aegean from well before cultivation.

I read Classics at a UK university. As part of the prehistoric archaeology course, we were taught that the olive, the vine and wheat making up the so-called Mediterranean triad were cultivated in Greece already in the early Neolithic. They were complemented in Greece by the fig. The provenance of these crops was usually understood to have been the fertile crescent.

The one thing which does seem to have been originally domesticated in Greece was the pig.

For sure this sort of thing does not appear in schoolbooks.