Answer: Yes. The FX2LP chips have a 6-byte unique ID that can be read and used in the application firmware by customers. This ID is present at these register addresses: 0xE507, 0xE508, 0xE509, 0xE50A, 0xE50B, and 0xE50C.
The most significant byte is present at address 0xE50C, and the least significant byte is present at address 0xE507. Please make sure to read and store the ID in that order.