In wok or large high-sided skillet, heat peanut or grapeseed oil over medium. Add chicken and heat until browned. Remove chicken from pan and set aside. Place carrots in pan and heat, stirring often, until softened. Add shallots, garlic, and ginger; heat for 30 seconds. Place half of cauliflower in pan and heat for 3 minutes, stirring often, or until tender. Add remaining cauliflower and heat for another 3 minutes, stirring often. Stir in chicken and peas. Pour in soy sauce mixture and heat for 1 minute.