"Hacking" as portrayed in movies and TV is enough of a meme that I'm willing to bet the writers just had some fun. That's some serious amount of effort going into writing about doing something that's not possible.
That was the best I came up with after about ten minutes on Google. The optimistic humanist in me says that this is true and I'm willing to cling on to any scrap of evidence. Besides, you always print the legend.
I was going to type a thing complaining about just one thing about this scene, but then that led to another and another and it started turning into a whole big deal.
Just reboot your cable modem and get a new IP address, dummies.
When Beckett calls Castle, I think some real hacking is going to take place, like asking for his log in details or something, but then she just flirts with him.