No. If you've been injured in an accident, the other driver's insurance company will usually (and quickly) send you a medical release form. This is typically an open-ended, "blanket" release which allows them to obtain all your medical information, whether accident-related or not. The insurance company will simply use the form as an investigative tool to defend your case. By signing the form, you will in effect lose control of your own medical information, as well as your privacy. Instead, your own attorney should have a medical release which is specifically tailored to meet the needs of your case.