Short answer is yes. Using an escort service, even having sex in exchange for money is not a crime according to the Turkish Penal Code. In other words, the woman or men who engages in escorting or the man and woman who is with her or him does not constitute a criminal act by law, and they will not be sentenced to prison nor penalty.

What is actually illegal is pimping

A person who encourages someone to engage in prostitution, facilitates it, or acts as an intermediary or provides a place for prostitution is punished with imprisonment from two to four years and a judicial fine of up to three thousand days. In another word pimping is illegal:)