Bring some oil to a simmer in a pot. While that's heating up, crush the chips to crumbs with a food processor or a mortar and pestle. Transfer the chips to a shallow bowl, add about 1/3 cup water and stir to make a batter.
Coat the mozzarella sticks with the batter and deep-fry them in the oil until they are golden brown, about 5 minutes. Pat down the excess oil with a paper towel and serve with a dipping sauce of your choice.