Heat 1 tablespoon of oil in a large Dutch oven over medium-high heat. Add carrots, apple, onion, chopped leek, garlic, and ginger. Season with a pinch of salt and pepper, and cook, stirring often, until vegetables begin to soften, about 5–7 minutes. Once the vegetables soften, add broth, coconut milk, and 1 cup water. Bring mixture to a boil then reduce heat, and simmer until vegetables are very tender, 20–25 minutes. You’ll know the vegetables are done when you can easily pierce them with a fork. Take the Dutch oven off the heat and with an immersion blender puree the soup. You can also puree the soup, in batches, in a blender.