Can an iPhone 5S with latest iOS stream video and audio through two separate devices at once?

I have iPhone 5S with the latest iOS, a cable that plugs into my old iPhone 4S (30 pin) and connects it to the TV (rgb), and a Bluetooth speaker. IIm considering buying a cheap 30-pin to lightning cable adaptor, but it doesn't support audio. Does anyone know if my iPhone can stream the video on to my TV while simultaneously streaming the audio to my Bluetooth speaker? Or should I just pony up the extra money for an adaptor that will support audio?

His it is going to take an extra unit to give you this ability.