No, it does not. CI never builds those broken commits because they never go outside of authors personal computer. Commit often, push when it's done and only push commits that work.
The only way they never go outside of the author's personal computer is if the author squashes (or discards!) them before pushing. Otherwise, they will go outside of the author's personal computer.
However, they will never be a head outside of the author's personal computer, because they are pushed along with later commits that fix the brokenness. CI only ever builds heads, so the existence of the broken commits doesn't matter.
Why would CI ever run a build of more than one commit sent in the same push? Isn't the push atomic? (Certainly it's worked that way for me in practice).