Kurt Russell has appeared in many Western movies, such as Bone Tomahawk, The Hateful Eight, and others. Appeared in several episodes of Gunsmoke, another western television series.
When he was younger, he also appeared in many episodes of Daniel Boone, The Travels of Jaimie McPheeters, The Legend of Jesse James and other TV roles, which aired a few years before Little House on the Prairie started. So the combination of this TV series, along with other western movies has led many to have the impression that Kurt Russell was also in Little House on the Prairie at some point.
So while Kurt Russell has appeared in many pioneer and western films and television series, Little House on the Prairie was not one of them.