LOL, no. In fact, when the turkish F-16 piloted by Cicekli (I do not know his rank) and the late pilot Naim Erdogan was... well, lost near the island of Chios, back in October 8, 1996, it was the Greeks who conducted the SAR operation.
Here is the pilot, enjoying the hospitality of the Greek hospital of the island of Chios:
https://www.youtube.com/watch?v=-EBrmzSZz-E
He was later returned to the turkish authorities, of course.
If it was as you say, then the pilot would have been recovered by the turkish SAR units, since we can't possibly accept that the F-16 was... lost within what Ankara recognizes as Greek territory? What on Earth would it be doing in that area?