Is a narcissist a demanding my way or the highway kind of person?

Occassionally I meet these people who think I'm just going to drop everything at a moment's notice and run over and cater to their needs. I'm like who do these people think they are? Nevermind my plans for the day all the while they have their whole day planned to a t.
Is a narcissist a demanding my way or the highway kind of person?
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