Yes, Brad Pitt is distantly related to royalty.
While Brad Pitt isn't a member of any current royal family, he is a distant cousin of Queen Elizabeth II. This connection stems from his descent from King Henry II. Essentially, they share a common ancestor from centuries ago.
Furthermore, Pitt is also related to former U.S. President Barack Obama. They are ninth cousins, sharing a connection through Edwin Hickman, who died in 1769.
These connections are distant and don't make him "royal" in the sense of holding a title or position within a royal family. However, they do highlight interesting genealogical links to significant historical figures.