Yes. Penrose hypothesizes a non-computational (which would be interesting, because it opens a whole an of worms about how to model it) constituent of the universe. A little while ago he, along with Stuart Hammeroff, proposed the Orch-OR model, which posited that this is the same constituent as what causes the "collapse" of an unmeasured superposition of states into one concrete, measured state. With that said, I have not seen any of his work on this for some time (I last looked at it around 2016), though a cursory look shows some new papers of his on this and related subjects.