Not following proper inflation instructions is the most cause of tire damage we see. However, there are many causes. The best thing you can do to avoid problems is to always have a tire pressure gauge handy and to check the pressure of your tires frequently. Manufacturer recommended tire pressures for your specific car is usually printed on the edge of the drivers door when you open it.
Although it is not likely, it is possible. The best course of action would be to have it checked out as soon as possible. You may start to experience a decrease in performance.