I read about things that there are some Kubernetes issues with Docker support. As far as I understood Kubernetes doesn't support Docker CE on Linux. Does Kubernetes support Docker CE on Linux?
Kubernetes suppors Docker CE on Centos or RHEL.
Would you elaborate on the reason for the question pls
Nothing prevents you from building a kubernetes cluster on top of Docker CE. It just isn't built-in on the CE-version (like it is in the windows version).
You can simply install kubectl, kubeadm and kubelet and create a cluster. There are multiple ways to set up the cluster to suit your needs. For local, single-node testing you can use minikube, which is incredibly user friendly to set up.