Convention says not to, for the evident reasons. Enough said.
I would do it, gingerly, with safety gear. For context, I have also experimented to find out what it takes to ignite a primer with a primer seating tool; I have abused them every way I could think of, and I never ignited one with any priming tool. It is certainly possible, but rare.
Additionally, setting off a primer in an unsupported case is no where near as violent as might be supposed. The bullet will be ejected, the case will probably split, and the primer will likely be ejected, but it's nothing like firing the cartridge in a chamber.
So if you believe you understand the risks, and have the safety gear to protect against the unlikely ignition. . . you probably wouldn't have asked the question.
Next time, check your primers before charging.