yes you can do this. It will involve a little scripting though.
There are pre and post render commands that can run arbitrary scripts. Look in your render globals and under render options you have 3 boxes.
In post render MEL you can put:
sound -offset 1 -file "path_to_your_file"
It has to be a wav or similar it wont do mp3s.
That should do it
Alan
Technical Director - Framestore
Currently working on: Your Highness
IMDB