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As always: it depends.
But ... Yes an easy jog can help loosen of stiff muscles and promote blood flow without harming, and potentially helping recovery if done properly. Done properly meaning really easy pace, not too long -like no more than half an hour in zone 2.
ETA: I try to follow the general advice of follow a hard run with an easy run when planning out my runs. Means I can run most days without just feeling wrecked all the time.
Is active recovery a thing for running? An easy ride after a hard / long ride is good - is an easy run after a hard run good, or is doing nothing better?