Remove skin from chicken and discard. Remove chicken from bones and shred chicken (you should have about 4 cups); set aside.
Spread one side of each tortilla with some of the hoisin sauce; sprinkle with peanuts and green onions. Top with shredded chicken and shredded daikon. Roll up; halve crosswise.
In a bowl combine soy sauce, vinegar, water, and chili or sesame oil. Serve as a dipping sauce with chicken wraps. Makes 8 servings.