It's a lot of energy to extract as well, to freeze something.
A lad on my degree course made an 'ice on demand' machine using a freezer pump. He used an archimides screw to force water through the cooling matrix and after about 20 seconds it would start to wind out a spiral of ice. The main problem was getting it to freeze fast enough and it just wasn't powerful enough to do cubes.
I'm sure the peltier idea would work, especially if you could do a direct contact so you get the heat out nice and efficiently. I think the main problem is going to be the temperature difference because it's going to belt out 270W of heat plus whatever it takes out the water, so it'll need some hefty fans.
Where are the peltiers coming from?