The current Aha! - GitHub integration lets you sync features to GitHub issues. This won't work in the opposite way. However, It'd be nice to have an editable field to reflect that the Aha! feature is linked to a GitHub issue.
|Release time frame|
This functionality is now possible with our latest enhanced integration with GitHub.com and GitHub Enterprise: https://blog.aha.io/enhanced-aha-integration-with-github-and-github-enterprise/.