I figure that it would be possible to create tokens for characters and such. Though I'm not sure how much The Haunted Tower relies on materials from the base game.
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It says right on the back of the box "To play the giant three-part adventure, you must own the Dungeons & Dragons game. The bonus board game is playable immediately." I would think that at the very least you'd need the rule book from the core game and a full set of polyhedral dice to make things work properly if you wanted to play the three-parter.