Nope, sorry, we have plans of some (optional) better integration with github, anyway the API of taiga allow you to do anything you can do from the web client, and the GitHub API is great too, anyone can write a sync system between taiga and github issues/milestones. But take care, we use milestones for user stories, not issues. You can sync github issues to taiga user stories.
An other post mentioned http://www.getdonedone.com/ which promises GitHub, Basecamp, Harvest etc integration
I've seen https://waffle.io/ talked about in previous posts, but haven't used it or Taiga. Github issues is painful enough in the past that, for companies I've been in at least, we used other issue trackers anyway (Jira and Pivotal specifically) so I'm not sure how market there is outside of open-source. For me, Taiga looks like a nicer solution for private projects (replacing redmine, trac, etc.)
I'm waiting for Codetree (https://codetree.com/) to be released! I have high hopes on it (not affiliated with them in any way)