As far as I know, no.

If you're doing a crit, you may want a bike that is a little more on the responsive side, just because you might have a lot of turns. However, we're not talking about a track bike. We're talking about bikes that fall well within standard road geometries.

Now, a specific rider may have a bike that he or she uses mainly for crits, and use another bike for training. And who knows, in this age of hyper-specialization and increasing road bike sales, it's far from inconceivable that a manufacturer will start billing crit-specific bikes. But I for one don't see why you need anything too specific for a crit.