How well does the novel Great Expectations fit into the Bildungsroman Genre?

The term Bildungsroman is generally applied to a novel about education (in the wide sense), and all round self-development. Most of the best examples of Bildungsroman genre are German. Wieland's Agathan (1765) was the first novel to be classed under the Bildungsroman Genre.
A bildungsroman generally relates to the protagonist in a story who goes on a journey away from home due to a feeling of discontent or loss.
As the plot of the novel unfolds, a process of the protagonist's development can be identified.
The protagonist generally goes through an arduous battle from within, towards matur…