Using a strainer or colander, rinse the rice under cold, running water, then cook according to package instructions. Once done, remove rice from the heat and let it stand, still covered, for 5 minutes.
Meanwhile, preheat an outdoor grill or grill pan over medium-high heat. Once hot, add chicken and grill until charred on one side, 6-9 minutes. Flip and cook an additional 6-9 minutes, until internal product temperature reaches 165°F on a meat thermometer. Remove from heat.
While the chicken is cooking, fill a medium saucepan halfway with hot water (from the tap), cover, and bring to a boil over high heat. Once the water is boiling, add the edamame and cook until heated through and tender, 4-5 minutes. Drain and return to the pan, then drizzle with oil and season with salt. Toss to coat, cover to keep warm, and set aside.
Meanwhile, cut carrots lengthwise into quarters. Preheat a large skillet over medium-high heat. Once the skillet is hot, add oil and swirl to coat the bottom. Add carrots, salt, and pepper; cook, stirring occasionally, until fork-tender 4-5 minutes. Remove from heat.
Thinly slice chicken.
To serve, divide rice, chicken, edamame, and carrots between plates. Sprinkle with sesame seeds and enjoy!