Generally, normal jogging movement is not a problem for a compact camera when it’s turned off. The main risk is not the small repeated shaking, but harder impacts. If the camera is loose in a bag or sits next to hard objects, it could be damaged by knocks or by the bag being dropped onto a hard surface.

To reduce the risk, keep it away from hard items and give it a bit of padding—something as simple as a folded T-shirt or sweater can help cushion impacts. A small protective pouch or padded section in the backpack is even better.

So: light motion from jogging is usually fine; avoid hard shocks.