First a disclaimer; The Cisco Proximity client isn't being actively maintained, so if you're setting up something new you should consider using e.g. Webex, AirPlay, Miracast or other solutions that might offer the features you want.
Then, yes, you could at least hypothetically provision a fingerprint list to users. They're stored in registry on Windows ; HKEY_CURRENT_USER\Software\Cisco\Proximity ; key "fingerprints"
On mac, it's in a plist file. Can be set e.g. using
defaults write com.cisco.proximity fingerprints "[]"