In a medium bowl, combine the chicken, Caesar dressing, yogurt, Dijon mustard, lemon juice, garlic powder, salt, and black pepper. Mix until the chicken is evenly coated.
Lay the wrap on a flat surface. Spoon the chicken mixture across the lower third of the wrap. Top with the romaine lettuce and Parmesan cheese.
Fold in the left and right sides. Starting from the bottom, roll tightly into a wrap.