Yes, that is more than do-able. Just knock the original cabinet apart and make each piece again out of new wood. You can probably reuse a lot of the smaller pieces as it is USUALLY just the sides, lower front panel, lower back panel, and bottom that get water damaged.
Heck, you don't even have to build the cabinet the same, as long as you build your new one so that your old marquee, panel, and glass will fit.
How bad is the cabinet? I saw it at the auction, but I wasn't interested, so I didn't look at it too carefully.