No, Princess Diana was not related to Lady Jane Grey. Princess Diana, born Diana Frances Spencer, was a member of the Spencer family, which is an aristocratic English family. Lady Jane Grey, on the other hand, was a noblewoman who lived in the 16th century and is often referred to as the ‘Nine Days’ Queen’ due to her brief reign as Queen of England in 1553.
The Spencer family and Lady Jane Grey come from entirely different historical periods and family lineages. The Spencers gained prominence much later, primarily in the 17th century, while Lady Jane Grey was part of the Tudor era. Therefore, there is no direct familial connection between Princess Diana and Lady Jane Grey.