
I don’t think so. As far as I know you only get bad credit from not paying off debt, whether it be credit card debt or a medical bill or whatever. Just keeping the card and not using it for anything doesn’t hurt your credit. But using it and paying off the balance on time can help you build good credit.
I’m in a similar situation, went apartment hunting with my gf for the first time. I didn’t have bad credit, but I also didn’t have ANY credit. If you have no credit history you don’t have a credit score at all. But you may have one even without having used your credit card, especially if you have student loans. You can check your credit score (if you have one) online for free on a few different sites. Experian for example, or Credit Karma or Chime.