Is it possible for me to add commits to someone else’s pull request on a repository where I am not the owner?
e.g.
User A owns Project X.
User B
User C can add directly to User B's pull request if User B has given permission, or possibly if user C is a committer on User A's repo.
https://help.github.com/en/articles/committing-changes-to-a-pull-request-branch-created-from-a-fork
The github default permissions for users on a fork are copied from the original.
If you do have permissions your command line to add would look like this:
git push https://github.com/[userb]/[projectx].git [userc_localbranch]