Yes, sort of.
This doc shows the adapters available for the Thunderbolt 4/USB-c ports on your Mac mini:
Adapters for the Thunderbolt 4, Thunderbolt 3, or USB-C port on your Mac - Apple Support
If you click on the link under the "Thunderbolt or Thunderbolt 2" section, it will take you to:
https://www.apple.com/shop/product/MMEL2AM/A/thunderbolt-3-usb-c-to-thunderbolt-2-adapter?
Which will tell you:
"However, using this adapter with an Apple Thunderbolt Display requires a power source, because the display does not provide power through the adapter."
Without elaborating further, leaving one to wonder things like:
• Doesn't the Mac mini supply power to the port?
• If I need a power source, which power source?