Can I stream music from my iPhone to a Bluetooth speaker and a Bose Sounddock II with a Bluetooth adapter

You can pair a Bluetooth speaker to the iPhone and use it for music, but you cannot pair to two different devices at the same time. Just find out how to put the speaker into discovery/pairing mode, then open Bluetooth on the iPhone and pair the two devices.

To my knowledge, you will not be able to play on both devices at the same time. You should be able to pair the two devices individually and keep the pairings on the phone, but not use them both at the same time.

You're welcome.