And the other posters are correct that the Turkish language is a very late import from the Central Asian steppes with Semitic elements picked up from the Arabic Quran. The language was even (clumsily - Turkish needed a few vowels) written in Arabic script until Atatürk's reforms in the 1920's.
Nope.
The conventional wisdom for some time now has been that it originated somewhere in Eastern Europe, perhaps in what is now the Ukraine or Kazakhstan. With the tribes spreading out from there east, west and south, reaching India as part of the Aryan invasion.
There is a noisy group of Indian nationalists who claim that the Aryans and their languages originated in India and went north and west from there, but they have remarkably little evidence to support their position, which AFAIK is held by no linguists or historians outside India.