No. This is something I’ve thought about. It would be a great way to get to a near shore dive site and back again. Since you always buddy dive, will this be one board or two? The board would be ideal for mounting a dive flag and keeping essentials like drinks, sunscreen and mask defogger. Now for the two issues:
Will the board be marking your presence during your dive? If so you need to drag the board around with you. I can’t imagine this working well.
If the board is just your base and you pull a regular dive buoy around with you, how will you anchor the board so it stays? This is the only real option. So get an anchor for your board, get a dive buoy for yourself, and have fun!