Could Pilate (being the governor) fulfill prophecy by officially declaring Jesus "king of the Jews"?

A governor's job is to appoint other officials to various offices, and their notary makes such things official. Writing in three languages would avoid the need to agree on one language in which to write the affidavit notarizing that Jesus was King of the Jews. Did writing "king of the Jews" on the sign hung above Jesus when He was crucified serve to officially designate Jesus as such?