In a large skillet cook chicken, half at a time, in hot oil just until browned; using a slotted spoon, transfer chicken to a 4 quart crockpot. Add carrots, chicken broth, water, rice vinegar, 1 tablespoon soy sauce, ginger, and pepper. Cover and cook on LOW for 4 to 6 hours or on HIGH for 2 to 3 hours.
Stir in uncooked noodles. Cover and cook on LOW for 10 to 15 minutes more or until noodles are tender. Prepare peas according to package directions and add just before serving.
If desired, serve with additional soy sauce.