No, I don't see anything like that type of connector going to the monitor. The only place those connectors are located is coming from the cameras.
What I was asking about was if a cable like this one:
would work to split the feed from the DVR to two different monitors, not to split the incoming feed from the cameras. I can get a cable like this that is about 25' in length, which would be more than enough to run the video out from the DVR to another adjacent room.
We have a two channel VGA splitter here. I have never seen an un-powered one like the one you provided the picture of. In my experience, when you split a VGA or analog video signal, the device needs to be powered in order to maintain the correct signal strength.