Yes, but you must deactivate the old license first. Go to License > Deactivate on the old machine. Generate a new request from the new server and ask support to re-issue the key (some vendors charge a small re-hosting fee).
Once purchased, the activation code is typically sent via email. Advanced Pbx Data Logger Activation Key
Send this request file to the vendor (e.g., ACS) along with your purchase order number. Some distributors offer an automated web portal where you paste the HWID. Advanced PBX Data Logger Activation Key 2