Nope there is not.
I tried this myself.
Why ? because LCD monitors only have DVI or VGA, and Converter Boxes, only have Composite or S-Video out. So unless theres some cable adapter which I doubt you can not do this.
The only LCD monitors I have seen with Composite inputs are LCD TV 19 inches small and those already come with a TV tuner.
Your best bet is to find a Converter box with VGA out.
Which will suck because they output only 480i which will look terrible on an LCD display.
I decided to go with a 10 inch NetBook which was $200 bucks, and a USB 2.0 TV tuner, now at least I get HDTV anywhere I want inlcuding the Kitchen and its portable.