Check what I/O pins the display uses. Odds are it is using /CE0, /CE1, MISO, MOSI, CLK - basically the SPI port with both chip selects.
It may use additional I/O - ask the vendor of your display.
You can stack boards between your Pi and the LCD, *AS LONG AS* they don't use the GPIO's the LCD uses.
You are S.O.L. (So Out of Luck) if you want to use the pins the LCD is using.
You can always add I/O expanders, they won't be as high speed as the Pi native GPIO's but they are more than enough for most purposes.
Only uses I2C lines
Only uses serial Rx, Tx and GPIO#17, can be used as a sophisticated I/O expander