Haven't done that as I use a paid version. I would imagine that such a thing is not possible as DBP Free is add based if I remember correctly. Using it entirely offline would pretty much ruin the add thingy wouldn't it?
Anyway. Here's what you might wanna try: Install DBP Free on a computer that does have Internet access and activate it there. After that just copy the entire installed DBP directory to your USB drive and overwrite the unactivated copy on your offline computer with it.
If the activation is stored in a file that should pull it over. And if what you say is correct then this might just work. If you like DBP I would also advise you to get the Gamestudio Bonanza - it has a full/add free version and still is a bargain on all the add on packs in it.