rear lights

I have a yose power kit that comes with a wired front light. Is it possible to use that to power a rear light? Was thinking of a two into one adapter? Guess most use a battery rear light.

This was taken at 50m, showing wilkinsons high intensity led at top, with a normal bike led underneath and my experimental LED strip lights. When I have followed other cycles I thought that its the size not brightness that draws the eye. So using 5V flashing LEDs I mounted them onto my rear...