Yes indeed, it can be hacked! Adv. Starship Constructors can be as well, with very similar results.
As for the result of the hack: Last I checked you get the effect of the factory, as in you can build mark IV units. This effects lasts even if you lose the factory, since you aren't relying on the factory itself, you stole it capabilities from the AI.
The trick here though, is that you have to leave the station alive to do hacks, which means the dyson will be hostile to you while you hack in addition to the hacking response and anything else that comes in.