Product : Microsoft, HyperV/2012R2, Free Hyper-V Server with SC
Feature : Storage Migration, VM Mobility, VM Mobility and HA
Content Owner:  Roman Macek
Summary
Yes (Live Storage vMotion)
Details
Storage vMotion allows to perform live migration of virtual machine disk files (e.g. across heterogeneous storage arrays) without vm downtime. Storage DRS handles initial vmdk placement and gives migration recommendations to avoid I/O and space utilization bottlenecks on the datastores in the cluster. The migration is performed using storage vMotion.