What happens if you are injured on your way to clinical due to weather?

My nursing school says that weather is not a valid reason to miss clinicals. Well, if it’s snowing heavily and there’s a big storm, and I get into an accident because they’re forcing me to come in, are they legally responsible? I’m talking about damage to my car and any medical bills. I go to a public school in NY state. I’m a student, paying good money to be there, and I expect my school to keep me safe. This is unnecessarily putting me in harm’s way. I’m not a paid nurse, going to my shift, whose terms I accepted and receive compensation for. I see no reason to put myself in danger. If they tell me I’ll fail or won’t finish my necessary hours, and I brave the storm and I get hurt, are they liable? Can I sue?