Thank you kindly for reaching out and that is an excellent question. The answer is no, due to the Bluetooth configuration. To maintain a Bluetooth connection you need a source device which is providing the audio and transmitting the signal and a device to receive the audio, such as Bluetooth headphones or a speaker. Because the headphones and the speakers are both receivers of the Bluetooth signal, this connection cannot function.
I hope this helped answer your question and please let me know if I can do anything else for you.