Nope, just a story. He also said “One small step for A man...”
Armstrong was also listed as “Mr. Neil Armstrong, as he had retired from the service before applying for the astronaut program. As the Navy and the Air Force were bickering as to which branch of service the first man on the Moon would belong to, he was the perfect compromise.
Some good info on debunking myths about Neil Armstrong
Much of what was reported is accurate, and much is wrong — some is just plain silly.