Does Dawn of War's single player mode have an active pause?

Is there active pause1 in Dawn of War single player mode?
Context / "Show Your Research"
I played the demo for Warhammer 40k: Dawn of War, but unfortunately I didn't check for active pause before uninstalling it. As reinstallation would be a bit of a hassle, I searched the Internet, but unfortunately the existing information seems a bit... murky.
There's this thread on Steam forums where you can learn that "there has always been"/"there has never been" an active pause in Dawn of War series.
An analogous question for the game's sequel indicates in DoW II active pause is a bug and might not be all that playable.
So, to reiterate the question: is there active pause in Dawn of War? (And is it an actual feature, ie. can you comfortably play the game with it, unlike in DoW II where the menu is blocking your view?)
1 Active pause - feature in real time games that enables the player to pause the game in order to issue commands that will get carried out once the game is unpaused.
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