No, I don't think so. I think the tamper logic is implemented in hardware and cannot be easily fooled. It seems like both mp1 and mp2 access memory-mapped registers of the tamper subsystem to check its status (and other hardware system stuff like reset reason etc.)

However, I am assuming that there is a way to gain write access to the hardware registers from Linux. After all, the manufacturer has the ability to "un-tamper" devices and there is this nor_update tool in Linux that might be able to do it. But my guess would be that first a key has to be loaded through some authenticated interface in order to unlock that functionality.