Hi Galileo,
vSphere Hypervisor support High Avaliability but you have to own the license for it.
Vsphere for HA support is only on : standard, enterprise or enterprise plus license .
If you owed even standard license you can use other benefits like:
vMotion®
Storage vMotion
High Availability and Fault Tolerance
Data Protection™ and Replication
vShield Endpoint™
Thanks
Anjani Kumar