Not if there are AIs out there in the universe who can catch the information and run it back to your FAI at lightspeed. And since our FAI can catch information about the causal past of other AIs that they'd otherwise never have been able to get back, it's even a clear-cut trade scenario. I see no reason not to expect this by default.
I'm not even confident there are other AIs out there in the universe. At least, not in our Everett-Branch-Future-And-Relevant-History-Light-Cone.
I'm not that confident, especially as I have a sneaking suspicion that something really weird is going on cosmologically speaking, but isn't it the default assumption 'round these parts?
What looks, at the moment, as the most feasible technology that can grant us immortality (e.g., mind uploading, cryonics)?
I posed this question to a fellow transhumanist and he argued that cryonics is the answer, but I failed to grasp his explanation. Besides, I am still struggling to learn the basics of science and transhumanism, so it would be great if you could shed some light on my question.