Potentially, but the neutralization of sulfuric acid releases a ton of heat (sometimes enough to crack glassware). By neutralizing the sulfuric acid without giving the heat anywhere to dissipate, you might just end up making things worse.
Also, as a small unrelated note, I doubt calcium carbonate would work well for neutralizing sulfuric acid-- the calcium sulfate formed is for the most part insoluble and stops the reaction.
Also, as a small unrelated note, I doubt calcium carbonate would work well for neutralizing sulfuric acid-- the calcium sulfate formed is for the most part insoluble and stops the reaction.