Anything is possible, but I suspect there are some formidable barriers. Financial (is it Microsoft or Sony's interest to allow Apple to take 30% of their revenue stream?), technical (porting titles is easier than it was, but still far from trivial), and legal (I imagine that arrangements with the publishers that supply the games for these catalogues are complex and likely would need to be renegotiated to add a new platform).
I think it's more likely that in the medium term, Apple would like to create a new premium tier to Apple Arcade, which can include console type games like Resident Evil 4 or Death Stranding.