haha why not
it should be possible (maybe the latency is a bit tricky but still possible) and if you have really small fixtures you can get a problem with the resolution of the webcam? i am really interested in you experiences with this kind of workingmode
For an easy start you can try Teamviewer. It is crossplatform compatible (win, mac, android, ios etc.), you have remote control and also see the webcam with Teamviewer.
Do you need to access to Access the settings when no one is in the store? If someone is in the store maybe they can move the webcam around for you too ^^