Yes.
Once your camera has been successfully connected to the 2.4 GHz network, you can turn on your camera to watch the video and control your camera while your phone is connected to a different network.
At the same time, you can also use your phone's mobile data to watch videos from the camera and control it.

As long as your camera is connected to your home 2.4G network and stays powered up, your phone can switch between networks.
Also, the network should be stable to ensure that the camera is online.