Question:
Where does it say that when chas v'chalilah a Jew and a non-Jew 'marry' this marriage is not valid according to Halacha? Is it because there is no kiddushin?
Answer:
Correct. According to halacha, in Jewish law a non Jew does not have Kiddushin.
Sources:
Mishna Mesechet Kiddushin 66b.