Can I rip the screen off the Adafruit Mini Color TFT with Joystick FeatherWing?
I wouldn't recommend it. The display is soldered to the PCB with a somewhat fragile flexible cable. You may have a hard time detaching the display and desoldering the cable without damage.

If you want the bare display without the carrier board at all, you can source those directly. Search for "ST7735 160x80" on your favorite Chinese marketplace -- this controller is used with a range of displays, and the 80x160 color display used by Adafruit is among them.

If you want the display on a carrier board without the buttons or joystick, Adafruit sells that too.