Koine Greek had no version of God's Name- until later.
Just a minor clarification that hopefully does not detract from your point.
Foreign names are adopted into new languages via simple phonetic transliteration.
In other words, Greek speakers would have simply repeated what they heard Hebrew speakers saying in a manner not unlike an English speaker saying "Vladimir Putin" when he hears "Владимир Путин" or "Xi Jinping" when he hears "习近平"
So it's really not a question of whether Ancient Greek had a version of the name. It's a question of whether Greek speakers ever heard it spoken