No, snapping turtles have no teeth. Like all turtles, they bite with bony jaws covered by a hard, keratinized beak that works somewhat like a bird’s beak.
The beak’s sharp edges let a snapping turtle grab and tear food, which is why its bite is so effective even without teeth. The snapping turtle family, Chelydridae, has two species in Illinois and much of the eastern United States: the common snapping turtle (Chelydra serpentina) and the much larger alligator snapping turtle (Macrochelys temminckii), the biggest turtle in Illinois. The alligator snapping turtle has a worm-like “lure” inside its mouth that draws small fish close enough to be caught. Snapping turtles mostly eat animal food, but their diet can also include large amounts of plants. Because the beak cannot chew, turtles tear food into pieces and swallow it. A turtle shell contains as many as 60 bones, and the shell, beak and lack of teeth together set turtles apart from other reptiles.
Source: Illinois Department of Natural Resources, Wild About Illinois Turtles
Image: Common snapping turtle, U.S. Fish and Wildlife Service, public domain, via Wikimedia Commons.