I went through 4 years of university and had exactly 5 conversations with other students.
It can happen. For anyone. I think it all depends on the class you get. Every class will have different people in it. You may get some that have a few cliquey groups. Others that are loud or quiet.
The second course I took we all worked in selected groups and we all had a great time for around 6 months working on the major project. It was the best time I've ever had, even better than any work environment. It was very relaxed environment and we all had a lot of fun, we got to work on our projects in our own workshops with nobody else around, but we still worked hard. Best times I've ever had. Nothing compares to it since then.
The first course I took was the opposite.
So a lot of it is situational and depends on luck.
In terms of dating. well. You have to pretty confident to ask someone out. Especially if you don't know them that well. I went on one date with a girl i'd been talking to for over a year, made things a bit easier. Because i'd normally ask her how she is going anyway meant that asking if she wanted to go out somewhere a whole lot easier. In fact, just forming a friendship or being interested for a while creates a relationship so that if you decide to ask out on a date, it is way easier, because you already know them.