Sure, but this is also a weird miscommunication. Why do this crazy trust exercise when you can instead have honest conversations? This sounds like the relationship is going to be based on proving yourself to the other instead of genuinely getting to know them.

If I received this, I'd show them me deleting it from all my devices and ask them to never do anything like that again, because you never know what could be exposed in a breach. I'd also tell them if any of that was genuine, we would need to end the relationship.