Likely indeed, and virtually inevitable, I would think.

A WWII warship's superstructure is quite compact and absolutely crowded with equipment. Amongst that equipment you will find gun positions, cranes, funnels, ventilators, masts, searchlights, lookout posts, AA guns, rangefinders, and various lifeboats and launches...all very close to one another. All of them are quite likely to sustain significant damage in a short range firefight.