Not yet, we'll be adding a Twitter Feed module in an upcoming release later this year. For Twitter users, we can currently:
* Import their last status into various 3rd party extensions
* Push a status update from JomSocial or EasySocial to their Twitter Feed
We also support all of the Twitter widgets, like Embedded Post, HashTag, Share, and others.
Finally, you (the admin) can configure Twitter 'channels' that you (or other admins) can post any content from your site to along with a message. It's a great way to quickly post content from your site to Facebook, Twitter and/or LinkedIn.
I hope that helps answer your question, but should you have others, just let me know.