I'm not familiar with that repo, but after a quick check it looks like it hasn't had any commits in 3 years, and just knowing how Neo4j has advanced -- it's really unlikely that would work (it's also marked alpha, I think)
Neo4j at present doesn't provide or support any k8s operators. Instead helm charts are provided.
In terms of managing database lifecycle, the best I can recommend right now is to use the health check status endpoints for databases. These can be the targets for k8s automated monitoring approaches.