In a bowl, whisk together the soy sauce, brown sugar, and rice vinegar. Add the marinade to the chicken, either in a ziplock bag or in a shallow container. Cover and refrigerate for at least two hours.
In a glass jar with a tight fitting lid, add the oil, vinegar, honey, sesame oil, soy sauce, and ginger, if using. Cover tightly then shake until the ingredients are well combined. Season to taste with salt.
Remove the chicken from the marinade and discard the excess. Heat a pan over medium heat and coat with oil. Add the chicken and cook, undisturbed, 4-5 minutes a side or until the chicken is well browned and registers at least 165 degrees with a meat thermometer. Remove from heat, and chop into bite sized pieces or strips.
In a bowl, toss together the chopped romaine, sliced almonds, wonton strips, sesame seeds, cilantro, and chicken. Toss with the dressing and serve.