Hi
I undertake Greek research professionally and I can tell you it will be tricky to try to get records out of Turkey. However, some Greek church and civil registers were removed to Athens in the aftermath of the collapse of the Megali Idea and the great popluation exchange in 1922/23.
Where did they come from in Turkey? Post-WW2 the Greek population in Turkey was pretty much restricted to Constantinople/Istanbul, Imbros and Tenedos.
With a little more information, I could perhaps give you a better idea of the possibilities.
Bluebird