In large bowl, whisk together soy sauce, vinegar, peanut butter, honey, garlic, and ginger; set aside.
Place eggplants in a steaming basket set over a pan of simmering water; cover, and cook until almost tender, turning eggplant occasionally, about 15 minutes (add more water as needed). Add snow peas and bell peppers; cook until crisp-tender and eggplant is tender, about 5 minutes. Remove basket from pan.
Meanwhile, in large pot of boiling salted water, cook pasta until al dente according to package instructions. Drain; add pasta and steamed vegetables to bowl with reserved soy-sauce mixture. Toss to combine. Serve warm or at room temperature.
As an alternative to the pappardelle, you can break eight ounces of lasagna into large pieces.