Hi Barbara. There was a couple of college kids who built a small sub from a 
propane tank a few years ago. It was called the "Manatee". It was small enough 
to pull around on a cart, and could possibly be built by a young boy with 
minimal mechanical knowledge. They made several dives and it worked. They kept 
it very small and simple, using pedals to make it go, and a few innovative 
methods to control pitch and depth. I think this link will get you there. 
Although we ( old men ) often get pretty serious about our sport, I like the 
idea of a boy's story that could inspire some young ones to learn more and join 
the adventure. The problem is, much like scuba diving, this sport can kill you 
if you make a mistake, so many of the answers you've received so far may sound a 
little negative.
My daughter is a teacher and her students show a lot of interest in my 
little sub project. I hope it inspires one of them to study engineering and 
maybe some day have a dream of their own to follow. 
Try this link and see if it helps.
My sub project can be seen on the psub site, or here's a direct link to 
some photos. I hope to launch this year.
Best of luck on your writing project. Frank.