Bring a large pot of lightly salted water to boil. Add pasta and cook until al dente, about 8 to 10 minutes. Drain and pour into a large bowl.
Meanwhile, warm oil in a large frypan over medium heat. Stir in button squash and zucchini and cook 10 minutes. Stir in prawns and cook 3 minutes. Stir in lemon juice, basil, oregano, salt, pepper and garlic. Cook 2 minutes more.
Pour prawns and sauce into large bowl with pasta. Sprinkle with chives and Parmesan and stir to combine.