G4 to a Mac mini
Can I transfer the information from the G4 to the Mac mini
Can I transfer the information from the G4 to the Mac mini
Are both the Power Mac G4 and the Mac mini connected to the same network or are you just trying to transfer the data directly between them without a network? What exactly are you trying to transfer and what exact model is the mini and version of macOS is it running?
If you have a lot of data to transfer, then using a USB external drive would be a better option than over your local network.
G4 to a Mac mini