I just checked out the manual and the LCD connections to the PI show that the touch controller is via the SPI interface but I can't make out the IC they user but I have a suspicion they are using the AD7843 or similar. Can you read the part number on the SSOP part next to the GPIO connector? I think this is a 20 pin device.
There is a good chance you might be able to find a suitable driver if you can identify the touch IC.