Hey it seems like this may be a general download problem, and not just specific to Twitter archive. I was unable to download my archive since a few weeks. (It was working fine before that). Finally found a thread where people were grumbling about ‘Network Error’ when trying to download anything on Chrome (or even other browsers).
http://productforums.google.com/forum/#!topic/chrome/OIYFKAWinKI
Pawan Agarwal’s answer worked for me
http://productforums.google.com/d/msg/chrome/OIYFKAWinKI/V36vtZ4RWHQJ
Of course I am assuming you are using some version of Windows. The driver urlmon.dll Pawan asks to register in that answer is used in some way for internet access by Windows. Worked like a charm for me. In fact my download speed suddenly went up. (Not measured it, just that all downloads are happening pretty fast compared to original download which was slow and also used to get interrupted halfway to boot!)
