Toss chicken with cornstarch. In a 6-qt. stockpot, heat 2 tablespoons oil over medium-high heat; saute chicken until lightly browned, 2-3 minutes. Remove from pot.
In same pan, saute onion, jalapeno and garlic in remaining oil over medium-high heat until onion is tender, 3-4 minutes. Stir in seasonings, chili sauce, coconut milk and broth; bring to a boil. Reduce heat; simmer, covered, 20 minutes.
Stir in cabbage, snow peas and chicken; cook, uncovered, just until cabbage is crisp-tender and chicken is cooked through, 3-4 minutes. Serve with green onions and lime wedges.
