Rerouting Arduino's USB Connector to other Pins for a different purpose ?

No, the arduino Uno's USB data pins are connected to the on-board serial adapter, which in turn communicates with the '328p using the hardware serial port on pins 0 and 1

What do you hope to do by connecting data pins of a USB port to the '328p? It does not have USB support. Even chips that do have to have the USB connected to specific, dedicated USB data pins, not just any old pin on the chip.