Add remaining oil, carrots, ginger and garlic to skillet; cook 3 to 5 min. or until ginger and garlic are fragrant, but not browned, stirring frequently. Stir in bok choy; cook 1 to 2 min. or until bok choy begins to wilt. Add remaining dressing; cook 2 min. or until carrots are crisp-tender and liquid comes to boil, stirring frequently.