Lets see 2^3billion is so big that we could say for practical reasons going through all those posibilities is impossible. We might not be able to do it ever. We might never find a way but I failed to see how without a doubt you can say there is no way period.
Because you are creating a version of Zeno's paradox. If you want to sample every human alive, by the time your sampling is done, there will be new humans to sample, so you have to sample them, and by the time that is done, you have new humans to sample, so you have to sample them, so on and so forth.