Place the diced ham, white beans, onion, carrots, celery, chicken broth, thyme, salt, and pepper into the slow cooker. Stir once to distribute the ingredients evenly.
Cover and cook on low for 6 to 8 hours until the carrots and celery are tender.
About 30 minutes before serving, preheat the oven to 400°F and grease a 12-cup muffin tin.
In a large bowl, stir together the cornmeal, flour, and baking powder. In a separate bowl, whisk the milk, egg, melted butter, and honey until smooth.
Pour the wet mixture into the dry ingredients and stir just until combined. Spoon the batter into the prepared muffin tin.
Bake the muffins for 15 to 18 minutes until the tops are lightly golden. Serve them warm alongside bowls of the soup.