Probably not. That's beyond the skill of most computer shops (who knows how to solder anymore?). We have experimented with it, but only have about 50% success rate, and I doubt that Shuttle would try to fix it after someone else soldered a new cap to the board. Plus, it probably wouldn't be any cheaper.
Last time, we sent 6 boards in for repair and it took them about a week to turn it around on us. It really wasn't all that terrible. The most difficult part is actually getting ahold of someone there. Also, on certain models, they may even be able to just sell you a brand new board. I know that was available to us for about 6 months before they stopped for the model we used.