No, the LG Phone Manager program is not compatible with all LG devices. It is an old application that doesn't support the new LG devices models. Also, from what it seems, it has been superseded by LG PC Suite. There isn't a list with the supported phone models, but you can check whether your device is supported or not using the Find Your Model search engine.
Can any LG phone use LG Phone Manager?
No, the LG Phone Manager program is not compatible with all LG devices. It is an old application that doesn't support the new LG devices models. Also, from what it seems, it has been superseded by LG PC Suite. There isn't a list with the supported phone models, but you can check whether your device is supported or not using the Find Your Model search engine.