If your body is in to much pain can your brain shut down and you die?

Find cause of pain: No. you cannot die because of pain. However you need to find out what is causing the pain and treat it.

Severe pain: Where is the pain and what is cause of the pain going to decide the outcome, For example if the pain is from the heart /severe heart attack resulting in arrest that might cause brain injury from lack of blood supply. Your question is so vague.

Rare: Rarely does extreme pain alone shock the body enough to cause profound shock or cardiac arrest in people without heart disease, other chronic cardiovascular disease or adrenal gland insufficiency.