The problem is not the recording or storing of a video of an entire life, but how one would go about searching it. Neither voice nor video recognition is anywhere close to being able to offer a solution to this and that is not going to change in the foreseeable
In practice we will soon have the technology that will provide functionality analogous to a (digital)vcr with one long program of your life. You will be able to replay the events of a particular time but not much else. I expect it will be a pretty boring
program to boot.