Especially the applications supported by Anthos like - https://console.cloud.google.com/marketplace/details/neo4j-public/causal-cluster-k8s
Yes, you can do that using GKE On-premises.
GKE on-prem is hybrid cloud software that brings Google Kubernetes Engine (GKE) to on-premises data centers. GKE on-prem is a reliable, efficient, and secured way to run Kubernetes clusters anywhere.
Here you can find a video showing a deploy of InfluxDB into GKE On-premises
And here you can find more information about the product: