Yes, many couples live togethe before marriage. A lot. It doesn't seem to improve the odds of the marriage working, but then again, neither does a large wedding and lots of appliances.
If you want a young married couple, then I would suggest you put a notice up on the church bulletin board or newsletter.
Actually, stats say you have a better chance at a successful marriage if you do not live together first. But no one cares about successful marriages or moral behavior. It's all about ME!!! Sadly, there is a lot of social pressure to live together first. It used to be the other way around.