Does Geoff believes what Sophie says about her meeting with Danny Casey?

No, Geoff does not believe Sophie when she tells him about her meeting with Danny Casey. Even though Geoff listens to all Sophie’s stories he also keeps warning her not to dream of things that are not possible to happen in reality. They both are very closely bonded with each other and Sophie trusts him a lot when she told about meeting Danny he told her to go and talk to her father about the meeting if she was saying the truth as he thought this also to be one of her fantasy.