Can Lens Desktop Kube run with other local Kubernetes clusters?

No, it can not. If you have, for example, a Docker Desktop Kubernetes cluster running, make sure that you disabled the Kubernetes in Docker Desktop before starting Lens Desktop Kube. If you stopped Kubernetes in Docker Desktop, and Lens Desktop still cannot connect to Lens Desktop Kube, try to reset it.

To reset Lens Desktop Kube:

Preferences > Lens Desktop Kube, click Reset.