This would be a product specific to your computer manufacturer, not part of native W7. It's purpose, as you likely know, is to check for updates from Vaio, such as drivers or newer versions of their computer-specific programs, and download and install them.
I don't know it will help but it couldn't hurt to run CCleaner for both the registry and for space and then reboot and try your update again. A link to CCleaner can be found in the Disk-Cleaning section of our
Freeware DB. If it's a lack of space or a registry issue of some sort this may help resolve it.
You might get more ideas by visiting their website or contacting their support to see if there is an update to the Vaio Care program itself or a fix for the issues you are experiencing.