Sorry, no -- Camect offers no way to directly modify those privacy zones.
However, you probably don't need to plug your cameras back into your old NVR either. You should be able to access any camera's web interface directly using a browser and change the settings from there.
If you don't know the IP addresses of your cameras, you can click on the camera settings (wrench in the camera title bar) and then click on the "i" next to "Camera Name" to get some details, including the ip address of the camera.
The possible problem with this approach would be that some Hikvision functions don't work unless you use a specific browser or have specific weird plugins installed. Try and see if it will work for you.