Yes. Keep in mind C3 downloads, installs and authenticates in one step. So unless the fast connection needs an installation of SONAR too, you could use the conventional download method instead from
https://www.cakewalk.com/My-Account/Products. C3 caches the downloaded installers which can be copied to the other machine. The default cache location is "C:\ProgramData\Cakewalk\Command Center\Downloads" but can be modified on the C3 config page.