You can use a Crestron amplifier stand-alone without connection to a Crestnet network, but 24VDC from an external supply still needs to be connected to the network connector so that the override switch will power the relays to turn on the amplifier channels on (think of it as a mandatory "24V trigger").
I don't know that it has to specifically be a 24VDC Crestron supply though, and the total VA of the power supply can be small as you won't be using it to power control units, touchpads, keypads, etc. on the network, but you would need a properly wired 4-pin Crestnet (Phoenix type) plug from the power supply to mate with the rear panel network connector in any case.
The 24V supply would have to be energized full time otherwise the recessed rear panel override switch would have to be depressed each time it was powered on or if it inadvertently lost power.
Steve