Can “Saturday Night Live” still write an opening sketch that isn’t about the misadventures of the Trump administration? This week’s episode showed that yes, it can, though it still had to reach into its celebrity Rolodex to get it done.

Jason Sudeikis, an “S.N.L.” alumnus, returned to his longtime role as Joseph R. Biden Jr., the former vice president, who this past week responded after four women said they were uncomfortable being touched by him. (The episode, hosted by the “Game of Thrones” star Kit Harington, also featured a couple of sketches lampooning that popular HBO fantasy drama.)

In the opening sketch, Sudeikis met with two campaign aides, played by cast members Cecily Strong and Kenan Thompson, who explained that they had an urgent matter to discuss with him.

“Joe, it’s about all the touchy feely stuff,” Thompson said.

Strong added, “If you’re really going to run in 2020, you have to change the way you interact with women.”