I'm not really sure what you are referring to here by the term "LED flasher" and "flash the rings". Are you referring to a 2013 Taurus that already has LED taillights, or are you referring to swapping out the incandescent bulbs for LEDs?
Assuming you are wanting to swap out for LED bulbs, then no, the flash rate is determined internal to the Smart Junction Box (SJB) rather than a separate flasher unit like was used years ago.
-Rod