

If you fall due to someone else’s negligence, you can almost certainly claim. Land owners are legally responsible for your safety while you are on their property, and are expected to take reasonable steps to ensure your safety.
If you fall over a broken or unlevel paving slab, those responsible for maintaining the area concerned may well be liable on the grounds of negligence. This would be the land or building owner, local authority etc., depending on whether it is on public or private property.
If you fall while using ladders or scaffolding at work, for example, this would be classed as a work accident, but you will still have rights to compensation if it was not your fault and your employer or fellow employee was in any way negligent.
Compensation is determined by the injuries you suffer, not by the cause of the accident. Thus, someone sustaining a back injury in a fall would gain the same compensation as if they suffered an identical injury in a road accident, all other factors being equal. See details for specific injuries elsewhere on this site.