Well, 'edging him' could also imply in a story that the plot is sort of pushing or leading 'him' towards a particular direction. Maybe it's edging him towards a decision, like in a moral dilemma where the events of the story are nudging him closer and closer to making a choice, whether it's a right or wrong one.
In a story, 'edging him' might be about creating a sense of anticipation or tension around the character 'him'. The writer could be using this technique to keep the readers on the edge of their seats, wondering what will happen to 'him' next. For instance, if it's a mystery story, the clues and events could be edging him towards the discovery of the truth, and at the same time, the readers are also being edged along, eager to find out what that truth is.
'Edging' in a story context could mean gradually approaching a certain situation or state related to the character 'him'. For example, it might refer to edging towards a revelation, like slowly uncovering a secret about 'him' throughout the story.