To claim that the universe makes no sense, is to say that it has no meaning, that it is not logical, and that it lacks reason.   This would mean that it is not knowable.

And science is:a : knowledge or a system of knowledge covering general truths or the operation of general laws especially as obtained and tested through scientific method b : such knowledge or such a system of knowledge concerned with the physical world and its phenomena--

If the unverse makes no sense, then there would be no general truths or laws--and science would, logically, be impossible. Of course, if the universe makes no sense, then logic would be impossible, as well, so it would be a moot point.