Heat 2 tablespoons olive oil in a large Dutch oven or soup pot over medium-high heat.
Add the chopped red bell pepper and cook 3–5 minutes until it begins to soften.
Add the white parts of the green onions, minced garlic, smoked paprika, 1/4 teaspoon salt and 1/4 teaspoon pepper; stir and cook 2 minutes until aromatic and slightly softened.
Add the drained white kidney beans and 4 cups chicken broth (add up to 6 cups if you prefer a thinner soup). Bring to a boil, then reduce heat and simmer about 5 minutes so the beans start to thicken the broth slightly.
Stir in the corn, cooked chopped chicken, chopped green beans, and chopped zucchini; cook 2–3 minutes until the vegetables are cooked to your liking and the chicken is heated through.
Stir in the chopped fresh dill, lime juice, and the green tops of the green onions; taste and adjust seasoning if needed.
Serve hot topped with shredded Monterey Jack cheese and a dollop of sour cream or yogurt.