This comes several days after Cain struggled to answer a question about Libya during a videotaped interview with a newspaper in Milwaukee.
The video went viral on the Internet.
Thursday, Cain was supposed to talk to the editorial board of the New Hampshire Union Leader, a paper popular with conservatives.
The newspaper typically videotapes such meetings, but Cain's campaign apparently refused to allow it.
Meanwhile, the U.S. Secret Service announced Thursday Cain is the first GOP presidential contender to receive protection from the agency.