The only problems I see with achieving that style with a full cap are:

1) The length of the temple points, upper sideburn areas, and nape. Check out Dino's latest pics on my blog. That's about as short as you will be able to go.

2) Ventilation in the temple area. You see how your friend's hair lays in a very specific manner? The ventilator would have to tie the hair perfectly in that area to get it to look like that.

You MIGHT be able to cut it a little bit shorter than Dino's cap, but it would require extra care in the ventilation and very well bleached knots.

The overall style is possible, but you might have to make a concession on the length. If you don't mind doing that, go for it.