Yes, it is. Many books draw inspiration from real - life events, and 'Lucy in the Sky' might be one of them.
I'm not entirely sure. While some books claim to be based on true stories, it could also be a fictional work with elements that seem real. In the case of 'Lucy in the Sky', without further research, it's hard to say for certain. However, often authors use real - life experiences or events as a starting point and then build their fictional narrative around it.