does thunderbolt display 27" (2560 x 1440 ) support mac mini m1 2022

You will need this adapter and it should work fine:

Thunderbolt 3 (USB-C) to Thunderbolt 2 Adapter - Apple

I was using that with my TB display for a long time until I finally got a new 4K display.

+1

Note: the latest, and current, Mac mini model is the 2020 model. There is no 2022 model.