Based upon the old adage "you can't polish a turd" my knee jerk reaction was that of Jimmy's. That said after seeing there are a few pricey plugins out there that tout themselves as capable of such sorcery I googled "reverb removal" and found
THIS THREAD on the topic over at Gearslutz. Several post on several tools and the results within.
My Take away....You can't polish a turd.
Some of the posters seemed pretty knowledgeable and did have "some" success at removing verb or room ambiance but there will be a loss in overall quality of sound of the original tune and "artifacts" appear quickly. In order to acheive that less than perfect end result requires quite a bit of time experimenting with and learning how to tweak the software. Maybe worth the price of admission if you are trying to fix a very valuable or amazing song but realistically in most cases that is not the case. That said, why waste precious time on such a "pissing in the wind" exercise. If you have the original dry tracks ...hell yeah.......... a mixed down old track (sans the original tracks) laying around for 10,20,30 years....I'm not going there.