Perfectly reasonable. And the answer is largely, yes.

Anything on the night side, on the ground, should be ok unless it takes a hit through communications or power grids. So should a lot of the lower satellites on the night side. Probably- the higher your orbit, the higher your risks, although a low enough orbit has it's own risks as energized particles skip and skitter along the upper atmosphere making pretty colors in the sky.

The bigger question is, how long do the flares and the resulting pulse last- if it's long enough for you to come out of the Earth's shadow, and it's still strong enough, you're toast.