Will data contained withing Persistent Volume survive cluster deletion?
It depends on what your persistentVolumeReclaimPolicy is. If you manually created/defined the PersistentVolume, then the default action is to keep the data. (This sounds like what you're doing.) 

If you are using something like EKS on Amazon, your PV's are dynamically generated EBS volumes. In that case, they will be deleted by default.

A little bit more about reclamation: https://kubernetes.io/docs/concepts/storage/persistent-volumes/#reclaiming