If you were in an accident involving alcohol or a controlled substance and you were transported to a hospital for observation and treatment, the law does not require that you get arrested immediately or receive a ticket at such time. Depending upon police investigation and test results, one can very well be arrested (or cited) for a DUI well after an accident has happened.Thr main goal in such a situation by law enforcement is to treat the injured people as opposed to arresting or citing someone.