It can be - but a lot is going to depend on the qualities of your specific site. If you write your own unique articles, and they're on very timely and newsworthy topics, then you've got a chance of being clustered in with the right News Search results to get traffic. If you're more in a side niche, then probably "not so much".
Google News is a common source of the autobots on Twitter (and there are many) -- those who get RSS feeds and automatically posts them either on their blog and their Twitter feeds. So once you get into Google News, your Tweetmeme counter can really rack up in number of tweets. With recent discussions of new sites getting links from Twitter, this can be a good thing