I fell down the stairs at my home that I rent due to the front porch not being cleared of the snow. Can I sue the landlord?

Its going to depend on the terms and conditions of your lease.  If the landlord warranted to you that they would keep the exterior of the property free from snow, and they didn't, or didn't do so within a reasonable amount of time, then you might have a cause of action against the landlord.  It is also going to depend on whether or not you were injured.  Simply falling, and getting a bruise or scrape doesn't mean the landlord has to compensate you.  If you were injured and could not work, and had medical bills that weren't paid, or missed work, then you ave a compensable injury.  check your lease and find out what the landlord's responsibilities are.