depends, sometimes if it's an accident and you didn't have insurance the hospital will actually file a judgement for their money and if you did have insurance, the insurance company can try and collect that directly too, but not as easily.
It's tempting to get the BI money and not pay the hospital but they will either attach a lien straight to the settlement or they will try and get a judgement against you personally. They don't play around.
ask your atty and see what they say