It is possible to do it, in the same manner that it is possible to create an account without a credit card at all. This is slightly dated, so it might not be t

It is possible to do it, in the same manner that it is possible to create an account without a credit card at all. This is slightly dated, so it might not be the case now. Originally every AppleID had to have a credit card assigned, the form wouldn't let you progress without one. The trick was to fill in the form with fake data, go to the next screen where it would error out, and then when you clicked back a "no credit card" option would appear at the bottom. Removing a credit card is possible. Crank open the iTunes app and the option is there. You just don't seem to be able to do it on their website, as far as I could see.