I do not believe so. Then again I have never tried.
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Creator of the Star Trek Mod - AST Mod - 78 Ship Sets - Conquest Mod - Atrocities Star Wars Mod - Galaxy Reborn Mod - and Subterfuge Mod.
Only strategic combat is available in simultaneous movement mode. You can certainly always watch the replays, which are like tactical mode except that you get to see fewer details...
IIRC, you get to see hits/misses, movements, exploded ships, and probably shields/hull.
You don't see damage progress, only before and after. However you can extrapolate some of the damage progress by the actions of the ship (speed of movement, which guns it fires, etc)