Is there such a thing as a psuedo-cloud?

I was reading, "The Cloud's My-Mom-Cleaned-My-Room Problem" and I think the author brings up a very valid point. Specifically in the case of Health IT doctors are very concerned with privacy issues. However, they don't want to be bothered with IT.

Could a system be designed that allowed for a customer to purchase their own cloud (not hosted)? Where Bug fixes are standard and major updates are purchased and then pushed to their local cloud server?