Traditionally defined as a person skilled in ninjutsu. The modern informal usage defines a ninja as a person who excels in a particular skill or activity.
There is a difference between cockiness and confidence, aptitude and arrogance. The definition of "excel" above is yes, "to be or do better than (others)". This doesn't mean we are better than "you", but we are better than others. Been there. Scheduled that. Delivered that. Got the project jacket. We prefer to define this as the Latin root and expanded to the famous Stan Lee exclamation. Excelsior, a Latin word often translated as "ever upward". Ever improving. We practice. We improve. We apply. We review. We look ever upward towards success.
A project manager is the person responsible for accomplishing the stated project objectives.