Slice the chicken breasts into thin strips and season lightly with salt and pepper.
Heat oil in a skillet over medium heat and cook the chicken for about 5-7 minutes until golden brown and cooked through.
In a bowl, whisk together soy sauce, brown sugar, ginger paste, rice vinegar, and cornstarch mixture until smooth. Pour over the chicken and simmer for 2-3 minutes until thickened.
On each tortilla, layer lettuce, teriyaki chicken mixture, shredded carrots, and bell peppers. Sprinkle sesame seeds on top.
Roll each tortilla tightly from bottom to top and cut in half for easy serving.