Yes. With any luck, your donor alternator comes with the plug and a little bit of the harness that you can splice into.
You will still utilize the yellow wire and the green with red wire to the old voltage regulator, with your new alternator. Just match the wire colors to each other and you should be good to go.
The main charge wire from the old alternator (which is yellow, I think?) will no longer be attached to the alternator. You will want to find a suitable spot, rather than cutting it off completely, where you can attach it to a power stud or auxiliary fuse panel that you can power other accessories with.
It’s still a heavy duty 10 gauge wire that’s essentially connected to the battery, so it’s good to keep.
Up to you though…
The new charge cable will be routed from the BAT terminal on the aalternator over to the starter relay.
Using a fuse of either Midi, or Mega type is recommended.