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What wire did the dog eat? There's three that I can think of: Controller wire, power cord and the TV hookup.
If it was one of the first two it'd be easier to just replace them. If it's the TV hookup you can replace that as well... just have to get creative as to where you get it from. Ebay would be a good start.
If you can find the pinouts, yeah, you're in luck. If it's a controller, both the XBox and the Dreamcast use a modified USB pinout so it's no too hard. If that's the A/V cable (which I doubt), you may go to hell and back.