No credit card required
Browse credit cards from a variety of issuers to see if there's a better card for you.
If you've never checked before, and are talking about what your credit score was in the past, no. The only way to look at past scores is if you have a CC that provides free Fico score or subscription to CMS.
In a nushell, score is calculated when requested either by lender or yourself (SP credit monitoring services).
Once you sign up, past scores (from that day) will be available to you.