Product : Red Hat, RHEV/3.5, All
Feature : Overview VDI, Desktop Virtualization, Extensions
Content Owner:  Roman Macek
Summary
No, Possible via Red Hat Storage
Details
Red Hat acquired Gluster in 2011 opening up the integration of the scale-out GlusterFS NAS filesystem for storage virtualization capabilities (now integrated in Red Hat Storage).
Red Hat Storage is a software-only, scale-out storage solution that provides flexible unstructured data storage for the enterprise.
There is support for managing Red Hat Storage volumes and bricks using Red Hat Virtualization Manager.

Red Hat Storage Console (RHS-C) of Red Hat Storage Server (RHS) for On-Premise provides replication via the native capabilities of RHS, with integration in the RHV-M interface.
RHS-C extends RHV-M 3.x and oVirt Engine technology to manage Red Hat Trusted Storage Pools with management via the Web GUI, REST API and (future) remote command shell.

Note that Red Hat Storage is a fee-based add-on.

A Getting Started with Red Hat Virtualization 3.4 and Red Hat Storage 3 guide is avaiable here:
https://access.redhat.com/documentation/en-US/Red_Hat_Storage/3/pdf/Configuring_Red_Hat_Enterprise_Virtualization_with_Red_Hat_Storage/Red_Hat_Storage-3-Configuring_Red_Hat_Enterprise_Virtualization_with_Red_Hat_Storage-en-US.pdf