Such mission critical to EMI designs would be submitted to full spectrum EMI tests once assembled (hitting it with noise of all kinds of frequencies AND testing it for leaks of all kinds).
Causing a bare board to fail? lol, perhaps if you have an atomic disintegrator. Assembled boards with actual components? Now you have something you can actually fail but this PCB house does not do said assembly nor have access to that.
Figure out what data? Completely impossible. These are just copper traces. They don't get told "Mr Copper trace, you are going to do i2c and send XYZ data! and you are going to be a pci express and send ABC!" at the fab. Jeez.
Now a real cause for concern, if say a state actor had access to the completed assembly going into the planes, they could identify a place to embed a backdoor. The state actor controlled PCB house could then embed the backdoor into the PCB itself. But at that point you have 2 different security breaches and the PCB guy is probably lesser of your concerns.
The dumber thing would be to alter the current carrying capacity of power traces which tend to be obvious staring at a board. But it would just identical to trolling by causing boards to fail and eventually get it investigated and your supplier contract revoked.