Heat the grill on high for at least 10 minutes.
Season the chicken with the spices, sugar, salt, pepper, and olive oil. Use your hands to rub the spices all over the chicken.
Add the veggies that you want to grill to any vessel (bowl, baking sheet, plate, etc…), drizzle lightly with olive oil and sprinkle with some salt. Use your hands to toss to coat. Add scallions and just rub them with your oily hands.
Place the chicken, scallions, and veggies on the grill and grill, covered, for about 3-5 minutes or until the chicken and veg have nice grill marks (the scallions will likely be done after 2-3 minutes, you just want a little char on them). Flip and continue to cook until the chicken and veggies are cooked through, about 3-5 more minutes, adjusting the heat as needed. The veggies may be done before the chicken. Transfer everything to a cutting board to let cool off for a few minutes. Chop the scallions, veg and chicken into bite-sized pieces.
In a glass jar with a lid, add all dressing ingredients and shake vigorously to combine.
In a large bowl, add the veggies, chicken, beans, and cheese. Pour the dressing over top and toss to coat. If you have any herbs laying around, put them on top or mix them into the salad.
Serve topped with more cheese (feta or parm) and black pepper.