Hi Michael,
It is possible but you are going to have a hard time doing it. The debugger uses the reset pin to set the MCU in a known state before downloading the firmware or attaching for debug. If you disable the reset pin, you have to make sure that the MCU is in reset state before downloading the code (which is done by power cycling the MCU right before the debugger attempts to attach). This is something hard to do since it requires synchronization between the debugger and how fast you are powering the board.
My recommendation for you is debug your application excluding the part of the application that requires the RESET pin and until everything else is working disable the RESET pin. Also, if there are other pins that you can use a multiplexor with that could be handy too.
Saludos
Santiago Lopez – Systems Engineering