Did they have ID cards or something like them at the same time as when they had draft cards?

Not the draft card itself, but something like it that they also had and carried around that gave information about themselves.

Did they have ID cards or something like them at the same time as when they had draft cards?
There were driver's licenses. Nothing related to the draft card. The draft card had your name and draft status code. All males over 18 were supposed to carry one.