The very top drawer should be BB slides. The deep drawers may have spots to accommodate BB slides, but I don't know for sure. As for the rest, unless the drawer slides will completely unhook from the drawer, I think you're SOL.
I checked with a local Mac Dealer about converting my box to BB drawer slides and was told the BB slides are wider and therefore the drawers were made smaller on full BB boxes.
Some CRC will slide better than the white lithium grease that appears to be sprayed in the one picture. Maybe some better lube will help them feel better and save you from buying another box. Unless, you know, you want to buy a bigger box!