Yes.  For example, if the police officer believes that your speeds were so high as to constitute reckless driving, the officer may issue both a speeding ticket and a ticket for reckless driving, which carries an additional five points.  Because reckless driving tickets are usually issued when you are already driving substantially over the legal speed limit, you may accumulate ten points in a single traffic stop—bringing you only two points away from having your driver’s license suspended.  Further, fines are doubled when you are found to have been driving 20 miles per hour or more over the speed limit or if you were driving in a 65-mile-per hour zone, construction zone or New Jersey Safe Corridor zone.