Heat 1 tablespoon neutral oil in a large pot over medium heat. Add the shallot and scallion whites and cook for 2–3 minutes until they soften. Add a pinch of salt.
Add the chu chee curry paste and fry it with the aromatics for 2–3 minutes until fragrant. Add the solidified fat from the can of coconut milk. Cook until it melts and begins to sizzle, about 3–5 minutes.
Pour in the rest of the liquid from the can of coconut. Add the water or chicken stock and bring to a boil. Add the carrots and bell pepper. Reduce the heat to low. Simmer for 20 minutes until the carrots are fork-tender. Taste and add more salt if needed.