* Walt Disney himself is not alive. He passed away in 1966.
* There are surviving members of Walt Disney's direct family. His daughter, Diane Disney Miller, passed away in 2013. His daughter, Sharon Disney Lund, is still alive.
* The Walt Disney Company is a publicly traded company. It has a CEO (currently Bob Chapek), a board of directors, and many employees. These individuals are all alive.
So, the answer depends on your specific definition of "Disney family".