Bring a small saucepan of salted water to a boil. Add the snow peas and blanch for 1 minute. Drain and rinse under cold water; pat dry. Slice in half lengthwise.
In a large bowl, whisk the ginger-miso paste, lime juice and vegetable oil. Season with salt.
Add the snow peas, scallions, coleslaw mix and chicken, toss well.