YES!
I have not done this however I have read projects on this site pertaining to such. Hang tight and I am sure someone will be by to lend a hand.
Just to help a little, are you trying to replace it or just completely remove it? Are you asking what would be the consequences of removing it? I do not have carpet in my 2320. I do not believe my boat ever had the carpet (at least ever since I have owned it). I have never really noticed anything negative about not having it but have often thought of adding it in hopes of maybe insulating sound (honestly though I have never ridden on one with it so I don't know if it would do anything).
I suggest letting the others know what you are trying to accomplish and they will respond.
Good luck.