No credit card required
Browse credit cards from a variety of issuers to see if there's a better card for you.
Sounds like BS to me.
I've been receiving voicemails from them for several years now, but they're intended for someone else with a different first/last name. Only once have I actually answered the call during that time frame and I let them know I wasn't the person they were looking for, but I still receive the calls. They also didn't disclose who they were to me, but in searching the phone number I saw Dynamic Recovery Solutions and a ton of bad scam-related reviews to go along with it.
You may find this helpful:
https://ficoforums.myfico.com/t5/General-Credit-Topics/Dynamic-Recovery-Solutions/m-p/5062572
If they want the money bad enough and it is legitimate, they will send you the alleged bill. Never acknowledge you owe the debt or agree to any type of payment plan. Agreeing to a payment plan can start the statute of limitations all over again. Also, find out what that statute of limitations is in your state. Zombie debt is big business for collection agencies.