I didn't watch and I'm not familiar with the topic but it is true that Twitter accounts can be hacked and it often happens to celebrities and then they post crazy, disgusting stuff.
I think that there's some confusion here over what can and cannot actually be done on Twitter. The MP in question claimed that 'somone had tinkered with [his] tweets'. This can't be done. As Twitter's own support pages makes clear, you can post a tweet, you can delete a tweet, but you cannot edit a tweet once it's done. The MP is suggesting that having made his comments, somebody has then edited to look different. Where you are right, ginnyfan, is that accounts on Twitter can be hacked into (my own has been) but this is no different to your email being broken into.
The important point to remember here is that Eric Pickles did not claim that Twitter accounts couldn't be hacked into. He stated that tweets couldn't be edited after they were posted. He was right on this. And as much as it pains me to say it, Kay Burley's comment about the tech. guys at Sky was, unfortunately right. It's just that two different points in the matter have been conflated.
For those that might doubt or question whether the MP actually posted these comments, and that somebody else may have, then he did tweet late in the day that he posted such comments but never included the part about 'scum-sucking pigs'. He's therefore put himself in what is an awkward position - he's admitted to the post, but the facts of the case are still in doubt.