Umm, no.

A CCW lets you Carry a Concealed Weapon and has nothing to do with the storing of loaded firearms in vehicles. Though I suppose it would apply if you are in said vehicle and then 'storing' would become 'carrying'.

--edit--

But who knows about California in particular because their firearm laws are wacky. Back when I lived there the rule was "two steps" away from having a loaded firearm in your vehicle, ie: take the gun out of a case then load the magazine (IIRC of course, that was almost 20 years ago).

It DOES pertain to car storage. In most states the CCW is defined as “on or about your person”. No difference between your hip and glovebox. Note there is also a distinction between CCW and CCH. A CCH does not get you out of transportation laws for long guns.

That's why I said broadly, as CCW rules differ everywhere. In CA, it is illegal to carry in public buildings, schools, etc, so they clearly outline and review (in person with a sheriff deputy) legal approval to store/keep a loaded gun in your car (out of site) for these types of scenarios.