Meanwhile, heat oil in large nonstick skillet on medium heat. Add chicken; cook 4 to 5 min. or until done, stirring frequently. Add ginger and 1 Tbsp. dressing; cook and stir 1 min. Add coleslaw blend and carrots; cook 2 to 3 min. or just until wilted, stirring frequently. Remove from heat. Stir in soy sauce, remaining dressing and half the onions.