Yes, and someone already wrote a buildpack for including PhantomJS (the internet and open source are amazing).
If you want to run headless PhantomJS on a Heroku dyno, you will need to:
- Switch to Heroku multi-buildpack: https://github.com/ddollar/heroku-buildpack-multi
- Setup Ruby buildpack for your app: https://github.com/heroku/heroku-buildpack-ruby
- Setup PhantomJS buildpack for your needs: https://github.com/stomita/heroku-buildpack-phantomjs
The multi buildpack must be configured as the official Heroku buildpack. You then need to add the other two buildpack URLs to the .buildpacks
file. There are additional details for configuring each buildpack at the links above.
Using this, you should be able to deploy your Rails app, run your PhantomJS code/tests, all on a single dyno headlessly.