Cook rice according to package directions. Set aside.
Place a steamer basket in a medium pot filled with 1 inch water, cover pot, and bring water to a boil. Uncover and steam snow peas and carrots until crisp-tender, about 5 minutes. Drain and set aside.
In a large bowl, whisk cornstarch, salt and pepper. Add chicken and toss to coat.
Heat 2 Tbsp. vegetable oil in a large skillet over high. Add chicken in batches and cook, turning occasionally, until chicken is cooked through and lightly browned, about 5-6 minutes. Add extra oil when needed. Transfer to a plate.
Combine soy sauce, honey, vinegar, Sriracha, sesame oil, ginger, garlic, and 1 Tbsp. sesame seeds in a medium bowl. Transfer sauce to skillet and cook for 1 minute. Return chicken to skillet, and toss to coat. Cook until sauce is reduced and thickened, about 3 minutes. Stir in snow peas and carrots. Remove from heat.
Serve, topped with remaining sesame seeds and rice on the side.