Motorized tripod head with zoom
Cameras which support external control of zoom, focus, and iris normally have a port for this purpose.  LANC is the most common, but it appears that your camera doesn't have a LANC port.  According to the documentation to which you linked, the camera supports "remote control &amp; streaming" via WiFi.  If it is at all possible to control your camera's zoom remotely, then it seems that WiFi would be the most likely method.