Yes, incorrectly gapped points would cause similar symptoms. The best way to set them is by using the dwell angle measurement. This is a measure of the angle (usually expressed as an angle, but sometimes as a percentage) that the points remain closed in the cycle. If you know this reading and have a dwell meter this allows you to set the points gap extremely accurately, although it can be time consuming! The numbers are confusing, too: if your dwell angle reading is too high you need to increase the gap, and vice versa. Remember, whenever you adjust or change the points gap you must re-set the timing, since by altering the points gap you have altered the point (excuse the pun!) at which the points will open, so the timing needs to be re-set.
Good luck! More help or explanation if you need it!