Can a family sue an ambulance service for wrongful death?

Best bet is to consult an attorney experienced in medical malpractice issues. There are even some attorneys who have experience in prehospital malpractice issues. If EMTs were grossly negligent, failed to follow national/state patient care guidelines and/ treatment protocols they may be sued. It will take expert EMS witness(es) for plaintiff to prevail over defense EMS expert(s). Most EMS textbooks outline what is expected under DOT/NHTSA EMT training curriculum for EMTs & Paramedics. Some states have "Good Smaritan" type laws that protect EMTs from simple negligence suits & require gross negligence, malfeasance, failure to provide care, etc. in order to sue EMTs.