Hi- you can do it with very few tools if you put your mind to it, and very little space. Building a guitar can be broken in to lots of little stages, and while it may be more tedious without power tools or a dedicated space, you can do it at the table at home and clear up later. Also you can get suitable wood almost anywhere, it mightn't be fancy flamed maple but almost any builder supply store will stock something like mahogany (sapele, or utile) and something like maple or alder or poplar. As for the other supplies there are always good ways to get around them. I love this guy's story- he's based in peru and didn't want to mail order expensive binding for his les paul, when it is just cheap plastic. So he cut up a cheap pvc pipe! His guitar looks great and he did it without space or money or supplies. http://galileo.spaceports.com/~fishbake/lpc/cvr/cover.htm
People have been makeing beautiful instruments for hunderds of years with only the simplest of tools. Just look at some of the 17th and 18th century guitars and violins.
Good luck. Do it!
Richie