Not sure about hospital, but in nursing home you can wear scrubs and work in housekeeping or laundry or dietary..
Patient care tech, lab tech, actually most anything they title tech.
Transporter is a really good one. Ideally at a hospital that hires new grads. Then you have a foot in the door and can check out what units you like / don't like. Many students work as CNAs as it is the closest to nursing. ER Tech is a great job but EMT training is required and you may need to put time in on an ambulance first (still good experience). Alternatively or in addition, volunteer on whatever unit(s) you like.
Patient transporter or sitter would be nice. You can also volunteer at your local hospital. Depending on medical background a Tech position would be an awesome start.
I became a patient care assistant in a small nursing home before I went into school. (and while in school)
I think that is the best way to get your feet wet, but also know if you are cut out to go into nursing. Though it is a tough job, physically. I enjoyed it.