No, synthetic oil will not hurt your engine. In fact, it can actually help to improve your engine's performance and protect it from wear and tear. Synthetic oil is designed to be more durable and resistant to breakdown than traditional motor oil, so it can keep your engine running smoother for longer. It can also stand up to higher temperatures better, meaning that your engine will run cooler and more efficiently. Overall, using synthetic oil in your engine can help to extend its life and keep it running at its best.