connecting to thunderbolt to m4 Mac mini

Double-check that it is a Thunderbolt Display, to be sure that you get the right kind of adapter.

• The Apple Thunderbolt Display (A1407) has a hydra cable with two heads. The appropriate adapter is an Apple Thunderbolt 3-to-2 adapter. A USB-C (male) to Mini DisplayPort (female) adapter won't deliver the right signal.
• The LED Cinema Display (A1316) has a hydra cable with three heads. Here a USB-C to mDP adapter is the one that you want, and the Apple TB3-to-2 adapter is the one that won't work.

sure

Yes but you need a TB3 to TB2 adapter.

https://www.amazon.com/Apple-Thunderbolt-USB-C-Adapter/dp/B0DCHHPG2Y?source=ps-sl-shoppingads-lpcontext&ref_=fplfs&psc=1&smid=ATVPDKIKX0DER