Yes, you can catch bees, it just requires a lot of skill (and a little bit of luck). When they're chasing you, simply turn around and swing your net
very fast. I've never actually done it myself, but I know it's possible.
The pitfalls are very handy- you can bury them, and then when one of the townspeople steps on that particular spot, they'll fall into a hole and will need your help to get out... for a fee, of course.