Only if the hospital is state run. In WA the University of Washington hospital routinely runs losses because of this. Private hospitals can give you the bare minimum and kick you out the door.
Thing is the state hospitals will actually try to cure you; and they are fairly good at it. Harborview (part of University of Washington) is the only L1 trauma center in the region.
For-profit hospitals stick it to the taxpayers by doing this. It's a good argument for some form of universal healthcare, since we're paying one way or another.