Of course it's hard to pinpoint completely, but yes, points can definitely cause that. In fact, they can be at the core of a whole slew of issues. Right along with a bad condenser.
The only thing for it though, is to dig in there and mess with them. Verify your dwell (if you have a meter), your gap (if you have a feeler gauge) and timing (if you have a timing light). ;D
I make fun, because these days most people don't have any of those three tools. And with a points distributor, you should.
You can start simply though, by running some folded-over fine grit sandpaper between the point contact halves, to make sure they're clean and free from pits. Then verify their gap with something like a matchbook cover, then play with your timing by ear/feel.
That can actually do wonderful things. You just won't know exactly where things sit without the aforementioned tools.
The other solution, if you don't have the tools (or the patience) to mess with points regularly, is to just get rid of the points altogether and get one of the electronic replacement modules like from ACCEL, Mallory, and Pertronix.
Excellent choice in fact, as long as your distributor is in great shape and not in need of a rebuild itself, due to worn bushings and gummed up works.
But start with the messing around part, and let us know how it goes. If you need to know more details about how to clean and adjust, let us know too.
Good luck.
Paul