Ah. That's possible but harder. You'd also have some quality issues since it'd end up getting encoded again, possible bandwidth/stream issues if their connection wasn't fast enough to download it and reupload it at the same time, interruptions in the stream here if their connection to the other stream hiccupped, etc etc...
With the method I linked to, you just have to make sure your computer is on at the right time and that you prepped the files at some point during the week leading up to it. You won't be simulcast that way though, if that's what you're looking for.