Yes, hip bursitis can cause pain that radiates down the leg. The trochanteric bursa is located on the outside of the hip and when inflamed, can cause pain that radiates down the outside of the thigh, knee, and even to the ankle. This pain is often described as a shooting or burning sensation and can be aggravated by activities such as walking, running, or climbing stairs. You should consult an orthopedic doctor if you are experiencing persistent hip pain to determine the cause and appropriate treatment.