This claim is proven false. This is because there is no evidence stating that JD Vance killed the Pope. The first piece of evidence to prove this claim wrong is from an article by AP by Chris Megerian. The article states, "The Vice President and the Cardinal discussed their shared religions, faith, Catholicism in the United States, and President Trump's commitment to restoring world peace" (AP). This shows that JD Vance and the Pope met to talk only about religious beliefs and nothing more, just conversing with each other. How the Pope died is discussed in an article from CBS News by Tucker Reals, Haley Ott, and Paula Cohen. In the article, it states, "The Vatican said he died of a cerebral stroke and heart failure" (CBS News). This shows that JD Vance had no role in the Pope's death and that he died of old age, but also of natural causes. Proving the claim that JD Vance killed the Pope false.
Sources:
CBS News Article
AP Article