I2C Addressless communication

To be clear, I am not necessarily suggesting a PIC, I chose that one because I am familiar with the hardware. I am suggesting that @arduino_hero studies the data sheet of the processor on which ever Arduino board is of interest to find out if it can be made to respond to any I2C address rather than to a specific one. My thinking being if it's possible on the first micro-controller I happen to check then it's probably possible on others.