If you can connect any line out device (like a MP3 player) to your Bose then yes it would work. A straight thru mini-plug audio cable from the nook to the audio input on your bose would essentially let your Bose function as a speaker.
I use my Bose radio all the time to listen to music or audiobooks from my little Sansa mp3 player. I got a connector at Radio Shack, but it's been so long I don't remember how much. I think it was fairly cheap, though. They should be able to help you find what you need.