Is it possible to make breads using cake techniques?
I'm assuming you mean yeast breads, not quick breads like cornbread and banana bread which are actually types of cakes. Cakes and yeast breads are fundamentally different, which is why the techniques are so different. Breads are supposed to be somewhat stretchy and denser then cakes, which is why they are a dough rather than a batter, and why they are kneaded by hand or dough hook. Cakes are supposed to be light and crumbly requiring them to be thinner and have air beaten into them (for some cakes). The recipes and techniques are very different for the two. 

There are a few exceptions, for example brioche is typically made in a mixer with a paddle blade, and is closer to a batter than a dough, this is only possible because it has so much butter in it and the texture is supposed to be more crumbly. There are also some no-knead bread recipes out there which are mixed more like cake batters.  

So on the whole no, you cannot use the same techniques.