Are customer service individuals allowed to tell you "no" when you ask to speak with a supervisor?

Question Details:

I have called HP support for the last 6 days, was held on the line for an hour each time, and I wanted to speak with a supervisor to let them know of all the difficulties their customer service representatives have been dishing out. They arranged to at home service visits, when none of them were even offered. I need to know because when I finally did reach district office, the man told me I needed to prove that legally when I ask for a supervisor it should be given to me.

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