You probably could; you'll be getting a "correlated color temperature," CCT, meaning how it looks to the human eye with a neutral reflector.
Something to keep in mind is that this doesn't prove that the lamps are suitable for color print inspection - you could do the same test, for example, with eco-friendly fluorescent lamps such as compact fluorescent (CFL) which are pretty horrible for color print evaluation.
Something that I've occasionally done is to use a DSLR camera to shoot a white card, then look at a color histogram. I can manually change the camera's white balance by setting a color temperature. When I find a setting where the three color spikes line up then that is a good approximation of the CCT.