A part of the LEED AP exam is based on understanding the LEED process, i.e, it is not too technical. There is, however, a good deal of technical knowledge required, even just to understand the vocabulary. I think the 3 AP paths are New Construction, Existing Buildings and Commercial Interiors. I expect that they will eventually introduce a residential path, as it is currently leans to commercial construction.
With enough reading and self study you can probably do it, but you also might look for a college that offers a 2 year associate degree in construction. A few courses might provide enough background for you.
You may even discover a new career path!
Good luck,
Bruce