I doubt it. USB distinguishes between master and slave devices, and the type port that's on the BRX is intended to be the slave type so it can talk to a PC. If the Arduino can talk to a PC, then it's probably the same type as the BRX and thus cannot talk to it. It's not like RS232 where you can get devices that are the same type (electrically) to talk to each other by cross-connecting their Tx & Rx. Does the Arduino have an RS232 port so you can talk to the serial port on the BRX? That would be a lot easier on the BRX end.