Yes. The only way to be truly unique is to be completely unskilled, with no tragedies, no comedies, no adventures, and no disorders. Such a life, whilst a bit boring, would go unnoticed by everyone.
Do you ever think about the fact that everyone is always doing something as long as they aren't sleeping? For example, let's take a distant cousin that you hardly know. His life is likely just as interesting as yours is. He's doing something every waking second of the day, whether that be taking a walk doing schoolwork, or just thinking. The same applies to anyone you know. Your friend, your neighbor, or any random person off the street. Everyone is unique in their own way. However, since everyone is unique, does that not make uniqueness not unique?