My box turtles don't, but I have a 5 year old NA Wood Turtle that has eaten gravel since he was a hatchling, and not just a little bit. The wierd thing about it is that when he was little he was kept in a tank that was half water with pea gravel on the bottom and he would absolutely never eat gravel on the bottom of the tank, but if you put outdoors on dry land he picks up the individual pieces of gravel he finds on the ground and eats them one after the other. He poops them out in the water and then never touches them on the bottom, only on dry land. He's like a goat. He has eaten and passed bark, dirt, gravel, a cat's claw, and tries to eat whole acorns, but they won't go down his gullet. I have to watch him when I have him out in the yard because he tries to eat everything. He's also extremely aggressive with other turtles. He immediately bites them on the legs, and not just little nips. He hangs on like a pitbull. You do have to be careful with little guys that eat gravel because they can become impacted. I had a couple occasions that I had to use a pair of tweezers to help the Wood Turtle pass gravel when he was little.

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