Can you revive the creature you sacrificed with Hell's Caretaker?
No

The steps to casting a spell or activating an ability are:


601.2a) Place card or ability on stack.
601.2b-d) Make choices, including targets.
601.2e) Determine total cost.
601.2f) Activate mana abilities.
601.2g) Pay the previously determined cost.


The sacrificed creature is only moved to the graveyard in step 5, but you need to pick a card in the graveyard in step 2.