Peel and dice the sweet potatoes, carrots, and pumpkin into uniform cubes.
Heat a large soup pot over medium heat. Add olive oil, onion, and garlic; sauté until slightly browned, about 3 minutes.
Add the sweet potatoes, carrots, pumpkin, leek, and seasonings; cook for 2–3 minutes, stirring occasionally.
Add water to cover vegetables ¾ of the way. Cover and simmer on medium heat for 35 minutes, until vegetables are tender.
Blend the soup with an immersion blender or standard blender until smooth. Stir in coconut cream and simmer for an additional 10 minutes.
Serve hot, drizzling with olive oil, sprinkling fresh thyme and chili, and serving alongside croutons.