hi .
i do not have a real hat pedal ,but i guess the procedure might work .
you will have to get a latch type foot switch (press once -it closes ,press again- it opens)
you will have to wire both the switch jack and the hi hat controller jack together ie tip to tip and sleeve to sleeve .
i would suggest making a small cable with a mono 1/4" jack at one end and two 1/4" mono sockets at the other end.
the switch jack and the jack from the controller are fed to the two sockets ,and the single jack at the other end is inserted into the hi hai control input of the module .
so when the switch is open (not pressed ) the hi hat works as normal and when it is closed (pressed) you should get a closed hat sound .
all the best !!!