Stir together oats, coconut, peanut butter, and honey until evenly combined. Very gently stir in sunflower seeds. Cover mixture and refrigerator at least an hour.
Using a small cookie scoop or teaspoon, scoop balls of oatmeal mixture and roll them into balls or mold them into eggs. Serve immediately, or place them in a container lined with parchment paper and cover. Store in refrigerator.