Is it possible to completely remove an issue from the GitHub issue tracker?
Update Nov 2018: You now can delete issues if you are a owner of the repository!
See "Github - remove issues entered in error"
https://docs.github.com/en/github/managing-your-work-on-github/deleting-an-issue mentions:
People with admin permissions in a repository can permanently delete an issue from a repository.
For other people (without permission), questionto42's comment shows that you can ask to GitHub support for the issue to be deleted, as illustrated here.
At May 2018, original answer:
Three 8 years later, and closing issues remains the answer (still no deletion possible).
See "The Ghost of Issues Past", where GitHub advise to check and close:
state:open created:<2013-01-01
involves:twp state:open created:<2013-01-01
involves:twp state:open updated:<2013-01-01