Unless you have an electron microscope, work at Intel, or manage to find a hardware exploit, you are not getting the private key out of that chip, which, short of breaking the underlying cryptography, is the only way you're getting at that data.

Except, of course, if you put malware in the next build of your mobile app, and grab it before it's encrypted. Which Signal easily could, and it probably wouldn't be spotted for weeks. Fundamentally, it's all about trusting other people.