Whisk together first 3 ingredients and 1/4 tsp. salt in a large bowl. Stir in coleslaw mix, green onions, and sesame seeds. Cover and chill at least 30 minutes or up to 2 hours.
Coat a cold cooking grate with cooking spray, and place on grill. Preheat grill to 300° to 350° (medium).
Combine ground chicken, next 3 ingredients, and remaining 3/4 tsp. salt in a large bowl until blended. Shape mixture into 6 (3/4-inch-thick) patties.
Grill patties, covered with grill lid, over 300° to 350° (medium) heat 5 minutes on each side or until done. Grill hamburger buns, cut sides down, 1 to 2 minutes or until lightly toasted.
Place 1 burger on top of each bottom bun; top evenly with coleslaw mixture and tops of buns.