I see no reason why it shouldn't... assuming it has an ethernet port. I suppose if it doesn't have an ethernet there are USB adapters to solve that problem, but that's not an ideal solution and just adds points of failure.
On the other hand, the same company that makes the KoP netbook also has a touchscreen hybrid variant with a screen that can fold over into a tablet formfactor:
http://ctl.net/laptops/netbooks/2go-...pc-nl3-ec10is2
Pro-version (more expensive):
http://ctl.net/laptops/netbooks/2go-...nl3-pro-tablet
And here's the traditional DS netbook:
http://ctl.net/laptops/12-inch-and-s...pc-e12-es10is2
To be honest, I'm just not sure how much utility a touchscreen would be (and it would certainly depend on the game), but if it's something your team is interested in and you think it'll be useful then go for it.
For the record though, I do think something like the hybrid classmate would be more appropriate (and I'm sure the FIRST officials would agree) because of the hard-coded emergency stop button. And unless you find a good way to secure the Iconia you might find lugging it around on a fairly heavy driver station where you have no possibility to catch it if it fell is a bit precarious.