Not finishing does not automatically mean rejection. Interviewers care much more about the quality of your thinking, structure, judgment, and communication across the case than about whether every case ends in a perfect final bow.
That said, context matters. If you ran out of time because you were consistently slow, unfocused, or needed too much help, that can hurt. If the case ended early simply because the discussion was deeper or time was managed differently, the outcome can still be positive.
The safest interpretation is that not finishing is a signal to review your pacing, not proof that the interview was lost.
So try not to reduce the whole round to the last minute. There is usually much more going on than that.