I was told by someone many years ago to always take a copy of my resume with me to an interview. That advice has paid off a couple of times. These days I also keep an email draft ready to send.
If a company doesn't have their shit together enough to coordinate an interview schedule and get the right people into the right room at the right time with my resume in their hands, ideally in their hands ahead of time, I don't want to work there. It's a basic competence test.
They feel the same way about you having your own resume in an interview.