Begin by cutting the chicken breasts into bite-sized pieces. Season with salt and pepper.
In a small bowl, combine soy sauce, Swerve, rice vinegar, minced garlic, and grated ginger to create the teriyaki sauce.
Heat a tablespoon of olive oil in a pan over medium-high heat. Add chicken pieces and cook until browned and nearly cooked through, about 5 minutes. Pour the teriyaki sauce over the chicken, reduce the heat to medium, and let simmer for 10 minutes, or until the sauce thickens and the chicken is fully cooked. Remove from heat and set aside.
For the cauliflower rice, pulse cauliflower florets in a food processor until it resembles rice grains.
Heat the remaining olive oil and a tablespoon of sesame oil in a large skillet over medium heat. Add the green onions and red bell pepper, sautéing until softened, about 3 minutes.
Increase the heat to medium-high, add the riced cauliflower to the skillet, and cook for 5-7 minutes, stirring occasionally, until it begins to brown.
Push the cauliflower rice to the side of the skillet and crack the eggs into the pan. Scramble the eggs and then mix into the cauliflower rice.
Add the optional peas and carrots blend to the cauliflower rice, stirring to combine.
Serve the teriyaki chicken over the cauliflower fried rice, garnish with sesame seeds, and enjoy!