If it’s determined there’s liability, maybe. I don’t know about jail but a victims family absolutely could sue in civil court in the US.
I don’t know about specifics but there are absolutely cases and laws around determining when and if a storage company in this case should have known. Also for things like kids breaking into your derelict building and hurting themselves and a million other things.
Don’t ask me to get into whether the laws around establishing liability are correct or ethical, I barley know any details in my own country let alone others (and what international treaties apply). But you asked a question and the answer is: it depends but, yes, sometimes.