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Yes. Assuming the sacrificed creature is a Zombie, Diregraf Captain's ability will cause target opponent to lose 1 life. This is because "dies" simply means "goes to the graveyard from the battlefield".
A card that talks about something that "dies" does not care if the creature is going to the graveyard because of combat damage, a destruction spell such as Doom Blade, because it was sacrificed, or because its toughness was reduced to 0.
"Dies" just means "goes to the graveyard from the battlefield." Did another Zombie do that, for any reason? Then the Diregraf Captain's ability will trigger. Doesn't matter why the creature is going to the graveyard.
Here are the full definitions, if you're interested in the specific wording:
Sometimes-relevant corner cases: