No, it's only the mobile one or you buy the keyring one. Five dollars I think?
Everyone I know who doesn't have an auth has gotten hacked. My friend got hacked, got an auth. Removed it for a night? Got hacked again. You DEFINITELY want an authenticator. I'd find a way to get one.
You need a credit card to sub, or you only have cash and are picking it up at a Best Buy, etc. If you know someone (parent, friend) willing to pay you can remove a credit card from the auto-save on the website. You can let them do the groundwork and remove the info.