There's a ton of tools that can be used for building a guitar. The big question is what the essential ones are.
Think what you are going to do. Then find out if you can do it with the tools you already have. If you find out you need something more, think if you can make it yourself (like a neck rest). If you find out that there's no tools in your rack to be able to do what you want to do, then and only then you'll have to get it. The essential tools are those that a) you can push to their limits and beyond and b) you have at hand.
I've often referred to the Malawi Refugee Camp guitar builder. What are the tools he's got? A hand saw, a hand plane, pliers, a ruler, most likely a chisel, possibly a scraper, some rasps and files and some sort of a drill. And he can build electric guitars with those.