Tufty 2040 - Wi-Fi (with AirLift?)

I’m thinking, no. The Tufty doesn’t bring the SPI pins out. Plus, the Tufty runs Micro Python, while the Adafruit Airlift is coded for Circuit Python.
The Tufty can run Circuit Python, but then your looking at getting all the bits & bytes working in Circuit Python.

One option is to build a Tufty clone with a Pico W. One less Button but the same size screen.
Raspberry Pi Pico W – Pico WH (pimoroni.com)
Pico Display Pack 2.0 (pimoroni.com)

Guess what I built? - Discussion - Pimoroni Buccaneers