The simple answer is that it depends on why you fell. If your fall was caused by the property owner's negligence, you may be entitled to compensation. For example, if the property had a pothole that was not clearly marked and you tripped on it and injured yourself, that would give you a case for compensation.
On the other hand, if your shoelace became untied and you tripped over it, your fall would not have been caused by the property owner's negligence, and therefore they would not be responsible for your injuries.
A property owner has a duty to ensure that their property is safe, including filling or marking potholes, ensuring there are railings on staircases and they are not loose, areas are well lit, snow and ice is cleared from driveways and walkways, etc. If you are injured because of the property owner's failure to provide a safe environment, you may be entitled to compensation.
The other factor that has to be considered is the extent of your injuries. A scraped knee that doesn't cause any issues is not going to be considered a significant enough injury to warrant compensation. A fall that leads to a break or sprain, that causes you to miss work and requires medical attention would give you a case for compensation.
If you are unsure if your injury was caused by the property owner's negligence or if the injuries warrant compensation, you should contact us for a free consultation.