Whisk together all of the Teriyaki Marinade ingredients in a small glass bowl. Add 1/3 of the mixture to a large freezer bag or small glass bowl.
Add chicken and marinate 1 hour up to overnight. When ready to cook, let the chicken sit at room temperature for 15 to 30 minutes.
Meanwhile, grease and preheat grill to medium heat, 375 °F. Grill the chicken undisturbed for 5 minutes per side, or until chicken is cooked through. (An inserted thermometer should read 165 degrees F when chicken is done.)
Once cooked, brush with the remaining, untouched teriyaki sauce and set aside on a chopping board. Let cool down a bit, then slice against the grain.
On the same grill, add the pineapple pieces and grill for about 1 to 2 minutes per side.
In a large bowl, layer the salad starting with the lettuce on bottom then veggies and finish with pineapple and chicken, Sprinkle sesame seeds on top. Mix to combine and serve.