Yes, just near Paphos.
Greek Cypriot "Hunters" will shoot just about anything that moves ( Except the Turks in 1974, when they couldn't run away fast enough.) they've even been known to shoot Land Crabs, Griffin Vultures, and Moufflons ( a type of indigenous Mountain goat)
25 Years ago, when I was stationed there, song birds were almost unknown then, most having been caught, roasted and pickled.