No.

See https://docs.databricks.com/clusters/instance-pools/index.html

Databricks does not charge DBUs while instances are idle in the pool. Instance provider billing does apply

Databricks Unit and Vms cost are different , so if just the VM is idle and not in use of any cluster, it will charged only by VMS provider , like AWS,gcp,azure

Databricks does not charge DBUs while instances are idle in the pool. Instance provider billing does apply.

Please refer here for more information - https://docs.databricks.com/clusters/instance-pools/index.html