Can I make a pull request on a gist on GitHub?
You cannot currently open a pull request on a Gist.
You can comment though on the Gist and ask the author to update the Gist from your fork.
As @Kevin said, unfortunately GitHub doesn't expose a GUI for pull requests on gists. You can however fork the gist, make your changes in the fork, then share a link to your fork with the original author.
If the original author is keeping a local cloned repository of their gist (see How do you manage your gists on github?) then they can do a pull against your fork as a remote using the gist # (e.g. git://gist.github.com/1131276).
I have sent a feature request email to support@github.com and pointed to this question.
Ivan Žužak replied with the usual:
I've added that to our feature request list so that the team can consider it.
confirming it is not possible.
Let's keep upvoting this question until it happens.
I recommend instead creating one regular repo called gists and ordering your gists into regular folders.