Can I bake bread in pieces?
Smaller breads are usually called rolls or sometimes buns. There are also a lot of names for specific kinds of rolls, beyond obvious things like "sourdough rolls".

You can certainly take an existing recipe and just form in to more, smaller pieces, and reducing baking time. They'll look funny if you just cut it into pieces, though; you should reform them into something rounder.

It's hard to say exactly how much less baking time it'll take, since it depends on exactly how small you make them. It might be anywhere from roughly a quarter to half the original baking time, and especially for smaller rolls with shorter baking times, you'd probably want to increase the temperature so they'll still brown by the time they're done. Very small ones will be on the low end of the time range, and need more increase in temperature; larger ones will take longer and not need as much temperature increase.

Given all that, you might want to just look for a recipe for rolls that suits you. Simpler, less chance of messing up!