What Steve says is correct, but to take it a step further, if you had a handyman doing work and say he fell and cracked a rip he would have to prove that you provided an unsafe work environment. You would have to be negligent in some way shape or form I believe.
I had a guy claim he fell down my inside stairs b/c they were too steep try and sue me by sending me a letter from an attorney demadning I forward my Homeowners insurance policy to him. I wrote him back saying I have an elderly women 72 years old, as well as a pregnant woman in her 40s go up and down those stairs twice a day without incident and to go bark up another tree. But yes in a case like this your homeowners will fight this if it came down to it.
Slip and fall cases as an example are very hard to prove, generally there has to be some form of negligence on the homeowner IE. loose railing, icy stairs, insufficient lighting ETC. to have a case.
Like Cheryl said anyone can and will sue, whether they have a real case or not is the real question.
Again