No, the DS is wireless and can't be linked to a GameCube.
Not long at all once you have both GBA's connected initiate the link by going upstairs in any Pokemon center on both GBA's and talk to the trade center, colosseum or record corner lady to start the...
Short Answer: Nope They haven't created a cable that'll go from a computer to GBA that both can understand to transfer data.
it is a cable that links up to other game boy systems only on multi player games
eBay