Heat 1 Tbsp. vegetable oil in a large nonstick skillet over medium-high. Add peas and cook, tossing occasionally, just until they become bright green and partly tender, about 2 minutes. Transfer to a plate. Add remaining 1 Tbsp. oil to skillet along with zucchini and cook, tossing frequently, until al dente, about 1 minute. Add reserved sauce, followed by noodles, sprouts (if using), and peas. Cook, tossing often, just until noodles and vegetables are coated in sauce, about 2 minutes. Season with salt, if needed.