No, haarp runs on the conspiracy themes that many Muse songs are about. In their early days, Matt Bellamy was a poor lyricist who found it hard to explain his personal feelings, so he wrote about conspiracy theories, which is how he got into that interest. Muse are a little more mature now, and while most of their content is conspiracy-based, this song in particular was about the recession, and if you don't believe me, look up anything Muse have said about this song.
In short, it's about public mistrust of government. It was written in a time when the British public didn't trust their government. Enough said.