In are mixing bowl, stir together the rolled oats, peanut butter, honey, cinnamon, and nutmeg until evenly mixed. (It's going to take a little muscle.) The mixture may seem too dry, but the water in the carrots will help balance things out.
Add the raisins and grated carrot to the bowl. Stir to combine.
Using your hands, roll 1 tablespoon sized balls from the oat mixture. Place the bites on a baking sheet lined with a Sil-Pat or waxed paper.
Refrigerate for 15 to 30 minutes or until the bites firm up a bit. Transfer to an airtight container and store in the fridge until ready to eat.