Of course, I understand.
You will not need the Command Center but you will need the installers which are available for download from your account. This will mean a PC with internet access presumably the Vista machine to download the files. Then you will need some way to get the installers from the Vista machine to the Win10 machine. This could be by CD/DVD, thumb drive, LAN or similar. There are several installers, the largest is ~1GB. Once the installers are copied to the Win10 machine, run them. They are executable files just like many other program installers. Once installed, you will have to run the process to remote authenticate the software. The process is described in the link I provided above.
IOW, the software can be installed and authenticated on a machine not connected to the internet. It will require a machine with internet access to download the installation and activation files.