I doubt it since it would have to explain the two prior cellmate murders, which it doesn't.
The guy is just plain crazy.........
‘Once is happenstance. Twice is coincidence. Three times is enemy action’
- Auric Goldfinger
I don’t see a need to explain the first one at all. Prisoners get cellmates. As for the second, that could simply be a failure to recognize that the same person might kill twice. It seems entirely plausible that the third one could be the only conscious plan, without any official effort to trigger the first two.