Does the Torah support the concept of Zionism i.e. killing non jews to create a jewis

Like what Israel is doing to the Palestinians.

I remember my religion class saying something about Moses and the Israelis killing off a bunch of non-Israelis while they waited for the chance to enter the land God gave them, which was already inhabited. So, I guess it does support it.

Possibly. Here are numbers 601 and 602 of the 613 Jewish commandments:

601: Not to keep alive any individual of the seven Canaanite nations (Deut. 20:16).
602: To exterminate the seven Canaanite nations from the land of Israel (Deut. 20:17).

http://www.jewfaq.org/613.htm

I don't know much about them but there is a group called True Torah Jews which is founded by a group of Orthodox Jews dedicated to informing the world, and the American public and politicians in particular, that the ideology of Zionism is in total opposition to the teachings of traditional Judaism.