Heat the oil in a large skillet over medium heat for 2–3 minutes. Season the chicken with salt and pepper and then add it to the skillet. Cook for 3–4 minutes, or until browned. Flip the chicken, add red bell pepper, and cook it for another 3–4minutes, or until the chicken reaches 165°F.
Meanwhile, stir the Pad Thai Mix, water, soy sauce, and red pepper flakes together in a small bowl.
Add the mixture to the skillet with the chicken. Bring it to a simmer over medium heat and continue cooking until the sauce has slightly thickened. Remove the skillet from the heat and stir in the carrot and green onions.
To assemble the wraps, fill each piece of lettuce with a scoop of the chicken and pepper mixture. Then, top them with extra shredded carrot, sliced green onions,chopped peanuts, cilantro leaves, sesame seeds, and a lime wedge, if you’d like.