Short answer: Yes
There are a few factors to determine whether you could sue if you fall on a sidewalk:
1. Was the sidewalk/condition defective?
2. Was the defect larger than De Minimis (small/neglible)?
3. Did the property owner have prior notice of the defective sidewalk?
If the answer to these questions is yes, then you most likely have a lawsuit against the property owner for a defective sidewalk. Contact an attorney to discuss your case.