Yes, strip off the female header and solder the wires onto the board.
here is the setup instructions for the car switch. You will need to pick a GPIO pin to use and follow the instructions.
The TFT blurb page
here says that it only uses the hardware SPI pins (SCK, MOSI, MISO, CE0, CE1) and GPIO #25 and #24. there are also 4 optional pushbutton connections which would also use GPIOs.
you could connect the car switch wires to one of the pushbutton connections or to the header that is designed for the 2x13 male GPIO extender. Either option will fit in the pictured case (I would probably solder them into the extender header but if you wanted to add an extender in the future this would get in the way).
Doug.
Building Management Systems Engineer.