Bring a large saucepan of water to a boil. Cook pasta for 3 minutes. Add broccoli and asparagus; cook 2 minutes. Add zucchini and peas; cook 2 minutes. Drain pasta and vegetables using a colander over a bowl, reserving 1/4 cup pasta water.
Place feta in a large bowl. Pour 1/4 cup cooking liquid over cheese and stir until cheese is slightly melted. Add pasta mixture and remaining ingredients; toss well. Serve immediately.
