No, there is nothing in the device neither the code that we could use to link a specific person with a device.
I easily believe that there's nothing in your code that would be designed for tracking. But do I think that NXP doesn't leave something traceable in the device itself? Do they document every bit of the JTAG state? Is there any open, published source that would confirm that their SoC devices aren't traceable?
The devices are produced and packed in batches. Even if there was some unique code embeded on the hardware, we would need to have a unique number on the package associated with it. there is no such code on the package of Trezor.
just to add there is a small QR code on the internals that identifies the production batch so we know which components and processes were used to produce it. For RMA processing.