Is it possible to skip the staging area and (also) commit untracked, new files to git in a single built-in, command-line command ? If not,
Using a single, built-in, command-line command? No.
Using two commands:
git add -A git commit
Using a custom alias:
Add this to .gitconfig:
[alias] commituntracked = "!git add -A; git commit"
Then you can do
git commituntracked