It isn't currently possible to configure CI-style messages for the GitHub Pages build process, though it's definitely a neat idea!
If you're having trouble with a GitHub Pages build, the best way to dig a bit deeper and debug it is to configure a GitHub Pages-optimised Jekyll instance on your local machine. Once you've done that, you can run test builds locally and view the full errors/warnings generated by Jekyll.
There's documentation here that explains how to get this set up:
I hope that helps!