Hi Clem,
Thanks for making a topic!
It sounds like you might have screen blanking enabled.
This guide covers a few different methods of disabling it: Screen blanking on Raspberry Pi – How to disable it?
Yeah, you can install both the viewer and server on a range of devices, Windows and Raspberry Pi included(for both). You can configure VNC a couple of ways, locally and through web - it’s worth taking a read through.
PS: Typically the Pi would be your endpoint(running the server) so it might be a bit laggier than if you were remoting in from a PC
Liam