do any shakers also help chill the drink?

Yes, some shakers can also help chill the drink. These are typically called "insulated shakers" or "chilled shakers." They have a double-walled construction with a layer of insulation in between, which helps to keep the drink cold for a longer period of time. Some insulated shakers also have a metal lining that helps to conduct heat away from the drink, keeping it even cooler.