can they cancel me

hello, here's my story i recently purchased a vehicle ,and shortly there after went to a local state farm dealer and purchased coverage on a fri, and i was given a temporary insurance card. the next night i was driving home and i was struck by a drunk driver ; immidiately after hitting my car he attempted to run but i managed to wave him down , but he ultimately fled once i called the police .. i waited and gave my story to the cops and they gave me a police report number .. the body on the drivers side of my car was pretty much damged on every panel .. so i called my insurance company and they were saying that my policy was not showing in their system cause it was new ... my question is this could they possibly wiggle their way out of paying by saying that my policy was not official yet ???