Hi Nick,
I would say that this is possible as I have done it twice where new servers were being installed and I simply copied the existing installation (programs and data) from the Old Server over to the New server.
The users used their same desktop icons to launch Adagio and all was/is well. I did not have to reinstall any of the Adagio modules.
Naturally this works smoothest if all of the relevant Drive/Printer Mappings remain the same.
Let's hope you never need to do it because of the C-word but it does work.
Regards, Pete