Heat 1 Tbsp. oil in large skillet over medium heat. Add chicken and cook 5-7 minutes, or until cooked through. Remove from pan.
Return pan to heat. Add 1 Tbsp. oil, carrots, broccoli, pepper and onion, and cook 10 minutes, or until vegetables are tender.
Heat peanut butter, ½ cup water, honey, soy sauce and lime juice in small pan over low heat until smooth.
Return chicken to skillet with vegetables. Mix in peanut sauce, coating chicken and vegetables. Fold in noodles, coating evenly.
Top with green onions.