Yes. See my Quora answers on question generation:
- Can computers make questions?
- How do I generate questions from corpus or comprehensions using NLP concepts?
- If we have a sentence or paragraph, how can we generate all possible questions so that the answer and questions are available in the text?
- What is the current status of systems which can answer questions framed from a given text article?
- Is AI better at asking questions or answering questions?