A lot of states differ on this; and I know a couple definitely have ways to get out of the points, essentially by paying money ("take this 'safe driving course'", etc.) I'm sure some states are stricter than others though.
At least in NY, you can only get rid of 4 points with the course and you can only take the course so often. If you're committing enough offenses to be in danger of losing your license, it ain't really gonna help much.
