That's unfortunate. Happens to the best of us. Ever make two speakers to near completion only to realize you didn't mirror the driver offsets?
If you mean doing the whole cabinet out of solid wood it's not impossible but ill advised. Wood wants to move, speaker boxes don't, not a great combo. You can get away with edge joined boards for panels, small stuff, sometimes baffles. All the solid wood speakers I made just kind of tore themselves apart sadly.
Simple MDF box with a veneer and a few braces is probably more than adequate for being dampened, make one solid piece that that goes from top to bottom to the sides with holes in it for an super inert box. Hard to argue with the ease of construction there and cost, plus how easy it is to make veneer on mdf look really good.