Sprinkle chicken with pepper. Place chicken, celery, onion, and garlic in a large slow cooker. In a small bowl combine hoisin sauce, soy sauce, ginger, sherry, chili sauce, and sesame oil; pour over chicken in slow cooker. Stir to combine.
Cover and cook on low for 5-6 hours or high heat for 2 1/2-3 hours.
Remove chicken from cooker, reserving 1/2 cup of the liquid. When chicken is cool enough to handle shred chicken with two forks.
For dressing, combine the 1/2 cup cooking liquid and the rice vinegar. Mix together well to combine, set aside.
Arrange romaine, chicken, carrots, almonds, and crunchy noodles on dinner plates. Just before serving give the dressing another stir and drizzle over salad.