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]
You cannot add commits directly to User B's pull-request unless you have write access to User B's fork. You can, however, make local additions to the pull-request, by just fetching the pull-request branch into your own local repo (assuming the url for B's fork is public).
I'm not sure if it's possible to do a pull-request into B's fork since your own fork is from A and not B, though.
You can check out the branch and re-submit a modified PR (giving credit to the original, preferably).
You can also issue a PR to the PR author:
git remote add userb https://github.com/userb/name.git
git fetch userb
git checkout featurebranch
[change and commit]
git push userc featurebranch
When you create a PR, GitHub lets you choose the base branch - so you can choose the fork and - if you want to - request changes to the PR.