no, not quite. Try it with a period instead of a question mark. That conveys more arrogance. The ambiguous grammer is a strong step in the right direction!
I can give you several sentences. Your arrogance is astounding. He would be good company except for his arrogance. Arrogance is an unpleasant personality trait.
Arrogance is a noun. so, in the example sentences that follow, arrogance functions as a noun: Her arrogance rubbed me the wrong way. Arrogance is not a positive attribute. I am annoyed by her...
When it has a subject, verb, punctuation, capitalization, a predicate, and a complete thought. A sentence is a sentence when it is handed down by a judge (or a magistrate).