A friend from a local chess club and a chess.com member wants to play a short match with me ( rated or unrated ) but wants to use a computer. I personally don't care but don't want to be accused of cheating. Can we play this mutually agreed to match on chess.com?

http://www.chess.com/legal.html#rules

It's allowed assuming you both agreed upon it.

 Thank you for your help. It is much appreciated!

 Thanks!  Good advice. That's what I just did.