Welcome to the Community forums and thanks for taking the time to post.
Dependant upon the model of your Wave Music System, you will likely have an auxiliary audio output port on the back of the speaker. This will enable you to physically connect headphones to the rear of the speaker to output audio directly. You can however not wirelessly connect headphones or speakers to the Wave Music System.
What audio sources are you trying to stream to other devices, is this specifically from AM/FM radio stations, or instead from the CD source?