Yes, you can connect the Logitech MX Keys S for Mac keyboard to a Mac mini, and here are the steps on how to do it:

## Via Bluetooth
- Switch on the Mac mini and open System Preferences.
- Activate Bluetooth by clicking on the Bluetooth icon in the menu bar and switch it on if it is deactivated.
- Switch on the keyboard and put it into pairing mode. This is usually done by switching on the keyboard and holding the power button until a flashing light becomes visible.
- In the system settings under "Bluetooth", the keyboard should appear in the list of available devices. Select the keyboard and click on "Connect".

## Via receiver (if available)
- If the keyboard comes with a USB receiver, you can plug it into one of the USB ports on the Mac mini. Switch on the keyboard and it should automatically connect to the Mac mini via the receiver.

## Important notes
- Make sure that the keyboard is switched on and has enough battery to establish the connection.
- If the keyboard does not connect automatically, check the system settings under "Bluetooth" to make sure the device appears in the list of available devices and connect it manually.

With these steps, you should be able to successfully connect the keyboard to your Mac mini.