The answer here depends on the circumstance. If the medical practitioner fails to inform you of the risk, or if they informed you the procedure would put you at risk, but the injury was caused by unrelated malpractice, such as an anesthesia error, then you may still have a case.
However, if you signed a consent form after being informed of the risks you would be taking in your procedure, the medical professionals and facility will likely not be liable for any injuries you were warned about.