In his latest such post on Twitter, Mr. Fetterman enlisted Nicole Polizzi, a cast member of the “Jersey Shore” franchise better known as Snooki, and a self-described “hot mess on a reality show,” to chide Dr. Oz for choosing to leave New Jersey “to look for a new job.”

“Personally, I don’t know why anyone would want to leave Jersey,” Ms. Polizzi says in the video, which is framed to look like a spot from Cameo, a website that allows users to pay for personal video messages from celebrities (and, apparently, Snookis).

The video, a tongue-in-cheek accusation of carpetbagging, was posted to Mr. Fetterman’s Twitter account, where he has been using memes and other internet “trolling” tactics to remind voters of Dr. Oz’s ties to the Garden State.