Getreal! - if we are not supposedly related by blood to the Greeks (I dont know of any peoples who can relate a pure bloodline that far) - Then are you saying that no Mycaenean or Ionian Greeks settled in Cyprus??
There was a mass settlement of Mycaenean and Ionian Greeks between 2000-1600BC. Some of the reasons for such a migration include the Dorian Greek tribe invading southern Greece from the north, causing the Mycaenean and Ionian tribes to flee overseas, as well as Greeks en-route to the Trojan war (a peoples who many historians also attach to the many Greek tribes of that era).