If you have voltage on both sides of the coil, turn on the ignition and put a business card between the points. If you don't have voltage at the arm of the points, the car is not going to start.
There is a whole shopping list of reasons why there is no voltage at the points, starting with the wire on one side of the coil, through the ignition switch, through the pop-out cable, through the lower plate in the distributor, and through the wire connecting the two plates together. Any number of places for the voltage to disappear.
Tom Endy