Combine first 3 ingredients in a large zip-top plastic bag; add 1 1/2 tablespoons lime juice. Add chicken; seal and marinate in refrigerator 25 minutes. Remove chicken from bag, reserving marinade.
Heat oil in a large nonstick skillet over medium-high heat. Add chicken; stir-fry 2 minutes or until chicken begins to brown. Add zucchini and next 4 ingredients (through jalapeños); stir-fry 5 minutes or until chicken is done. Add reserved marinade, and cook 1 minute. Remove from heat; stir in 1 1/2 tablespoons lime juice, basil, cilantro, and green onions.