dynamic text fields

I'm writing a program that starts with 2 text fields. The user enters in an Id in the first field and name in the second field. Then he hits the add button. Once the add button is hit, I'd like 2 more empty text fields to appear below the ones that already have text in them to allow another entry and the process to be repeated.

Is it possible to do this and allow the user to add infinite text fields? Please let me know if I'm not being clear.

Thanks!