You have a variety of options, depending on how the network operates:
Wifi / cellular type communications, cheaply messed with via blanket jamming: Create a device that generates sparks and situate it near any receivers. A spark generator near a receiver will easily overwhelm far more powerful, but more distant transmitters, across the whole spectrum. Cheap, easy, and you don't need to know anything about the radio network, other than the location of the receivers.
Targeted jamming: you have a radio. It receives signals and then simply blasts static on those particular frequencies. We can do this today pretty easily with software defined radios. This is a lot more technical though, and implies things about the strength of your transmitter, or, again, its distance to any and all receivers.
Wired networks: Snip the cables or, if you have the ability to use the network, you could try flooding it. This is where you simply jam more data onto the network (especially through multiple connection points) than the network can handle. Really, good networks should prevent this from causing any real problems but bad guys probably aren't known for their technical savvy or ability to hire competent network designers.
Hacking the computers/software would probably be the hardest thing to do. Although it's still feasible enough that you can hand-waive it with your "master hacker" hired character that happens to show up. (Flooding the network is just a type of really low skill "hack". Sometimes people accidentally flood their own network just by attaching too many devices to it. e.g., plug in enough cameras and your home network will become useless, too.)
None of this should "destroy the station". Station subsystems should (under even the vaguest engineering requirements for any universe) continue to operate. i.e. the reactor probably continues to operate normally even if it has stopped getting signals from the bridge. Wouldn't want your entire station to go offline just because of a solar flare or some other interruption in communication.