Non-computational theoretical chemistry
I think I can answer this in the affirmative. There are articles which find connections between abstract mathematics and chemistry, sometimes even bypassing physics altogether. Of course, these kinds of articles are considerably rarer, but they're sprinkled out there.
I can think of two articles which I'd love to discuss, but I literally do not have the necessary background, it just goes way over my head. The first one is Quantum Interference, Graphs, Walks, and Polynomials, Chem. Rev. 2018, 118, 10, 4887–4911. This is some rather pure graph theory which is not related to cheminformatics. In particular, I find it interesting that the connectivity in azulene is comparatively unusual, and this probably is deeply connected to its unusual photophysical properties. And then there's The Rouse Dynamic Properties of Dendritic Chains: A Graph Theoretical Method, Macromolecules 2017, 50, 10, 4007–4021, more graph theory with a little bit of physics, and whose content eludes me entirely.
Surely some amount of computer assistance was employed in deriving the results for these papers, because there's no reason to give up that tool. However, I don't think this counts as &quot;extensive computations&quot; in the sense you may have had in mind.