Preheat oven to 400°F. Line a baking sheet with parchment paper.
Season chicken breasts on both sides with salt and pepper. Drizzle with olive oil. Place on the baking sheet.
Bake for 20–25 minutes until internal temperature reaches 165°F and edges are golden.
Remove chicken from oven and let rest for 5 minutes. Then dice into bite-sized pieces.
While chicken bakes, whisk together mayonnaise, sweet chili sauce, sriracha, honey, minced garlic, and lime juice in a small bowl until smooth. Taste and adjust spice level as needed.
Add diced chicken to a large bowl. Pour in half the bang bang sauce and toss to coat evenly. Reserve the remaining sauce for drizzling.
Divide cooked rice among 4 bowls as the base.
Top each bowl with bang bang chicken, shredded carrots, julienned cucumber, edamame, green onions, and cilantro, arranged colorfully.
Drizzle with remaining bang bang sauce. Sprinkle with sesame seeds. Serve immediately or store components separately for meal prep.