In a large bowl, combine the shredded chicken, diced apple, chopped pecans, dried cranberries, and diced celery.
In a small bowl, whisk together the mayonnaise, Greek yogurt, lemon juice, salt, and black pepper until smooth.
Pour the dressing over the chicken mixture and fold gently until everything is evenly coated.
Lay a tortilla flat, place a leaf of green leaf lettuce on top, and spoon about 1 cup of the chicken salad onto the lettuce.
Roll the tortilla tightly around the filling and cut each wrap in half before serving.