I haven't really used any touch screen HATs myself, so I can't comment from a first hand perspective.
... I assume you're considering this one?
https://shop.pimoroni.com/products/adafruit-pitft-2-4-hat-mini-kit-320x240-tft-touchscreen
If so, yes, standoffs are the way to go... the full-size hacker comes with a pair that should be just the right height for it, in theory.