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I am assuming the sub was to pinch hit for the catcher. If that is the case, no, the sub is not entitled to a courtesy runner as they were not the last person to physically play the position. The pitcher and catcher must bat for themselves in order to be eligible for a courtesy runner.
The only time a pitcher and catcher can have a courtesy runner without having physically played the position is the visiting team in the top half of the first inning, and then they are the players designated to play those positions on the lineup card. If they do use a courtesy runner, then they must face at least the first batter for one pitch in the bottom half of the first inning.
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