MIX coconut milk, stock, basil, fish sauce, green curry paste and brown sugar in medium saucepan. Bring to boil on medium-high heat. Reduce heat to low; simmer 15 minutes.
STIR in vegetables and chicken; simmer 10 minutes longer or until chicken is cooked through.
SERVE over cooked Jasmine Rice.
*Note: If you are gluten-intolerant, check the label to make sure your stock is gluten-free.