possible - yes, but improbable 
Unless it is a instant recognition of some rare 12-move mate position and then to just play it through.
Is it possible?
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Well given that for most of the people, counting to 12 in three seconds is a feat in itself, so it seems unlikely. Yet for an experienced player to recognize a position from a particular game is fundamental. "This position is from Capablanca - Botvinik 1949, when Botvinik had a forced mate in 12. Let's see if I remember how it went"