Yes. There can be serious injuries from whiplash that can cause neurological problems. A car accident at higher speeds can cause disc and nerve damage, which can cause problems in other parts of the body, as well as neck and back pain that may be severe.
Some patients report they have tingling sensations in their hands and/or feet after a car accident. This can be caused by nerve damage in the neck from whiplash. This is referred to as radiculopathy, which is the medical term for irritation or compression of nerves in the spinal column. It is most common in the lower back and neck.
Car accidents also can cause a pinched nerve in the neck or spine; this is often a side effect of whiplash and can cause serious pain.