Bring a large pot of water to a boil and cook the spaghetti until just tender. Drain and rinse under cold water to cool completely.
In a large mixing bowl, whisk together the sesame oil, soy sauce, rice vinegar, honey, garlic, and ginger until smooth.
Add the cooled spaghetti, shredded chicken, snap peas, and green onions to the bowl. Toss everything until evenly coated with the dressing.
Sprinkle the sesame seeds over the top and give the salad one final gentle toss before serving.