The only thing that is impossible is time travel.
It won’t be “you” on the “chip”. But the information will be there. And I doubt it will be a chip.
It’s like saying, 120 years ago, “do you think it will ever be possible to record a thousand songs on a wax cylinder?
The answer is, no. But a different medium is coming where it will be possible to store that many songs. :)
Don’t be so sure that time travel is not possible. Read up on the multiverse http://www.tenthdimension.com/medialinks.php