Anybody can sue anybody for anything, if they can find an attorney to take the case. That doesn't mean they'll prevail.
Generally speaking, Worker's Compensation is the sole remedy for on-the-job injuries, unless there is gross negligence involved. The problem with this term is that "gross negligence" is not strictly defined.
For example, a faulty machine that should have been locked out/tagged out, and is not, and causes an injury may be gross negligence. A slip-and-fall on just-mopped bathroom floor, with a "wet floor" sign, would generally not be.
It all depends on the details in any particular situation.