Thank you for raising this intriguing thought. Although I'm no expert in evolutionary virology, I think the chances of this happening are low. As far as I know, there have been many cases of SARS-CoV-2 infecting cats (and other animals). But only in minks that there were hints of new coronavirus mutation. Infected minks could also pass SARS-CoV-2 back to humans. As a result, some countries have ordered the mass culling of minks.

Thus, I think the host's compatibility matters. It seems that only minks and bats might be suitable for coronavirus's evolution, be it via recombination or other mechanisms. Anyway, I've not read about this matter in-depth, so please let me know if I'm mistaken.