Your stamp will not have fillable fields - a stamp is a static piece of content in your PDF file. The way dynamic stamps work is by popping up a dialog at the time you place your stamp that asks for the information that will be placed on the stamp.
At the end, a digital stamp is the same thing as an old fashioned ink stamp: Once it's on the page, you can no longer modify it.
Take a look at this tutorial, it explains how this is done: http://acrobatusers.com/tutorials/dynamic_stamp_secrets
Karl Heinz Kremer
PDF Acrobatics Without a Net
PDF Software Development, Training and More...
http://www.khkonsulting.com