False. While no president has been removed from office after an impeachment, both presidents Andrew Johnson and Bill Clinton was successfully impeached. Others have been both impeached and removed, just not presidents.
Andrew Johnson and Bill Clinton are the only examples of a Presidential Impeachment. They were both quite unsucessful since they were not removed from office, the only possible outcome of Impeachment that can be deemed success.
Your comment is like saying we had a very successful Super Bowl, we lost.