Its definitely an old invention, but maybe not quite as old as you might imagine, we have evidence of a good handful of things from before then

https://en.m.wikipedia.org/wiki/Timeline_of_historic_inventions

Two things on that list in particular kind of stand out to me as obvious precursors to bread

Control of fire and cooking (2.3 million years ago) hard to bake without that unless maybe you live in a very volcanicaly active area or something where you can burry food in the ground or something to cook

Mortar and pestle (37 thousand years ago) gotta have some way of grinding grains into flour

Which leads us up to bread (14.5 thousand years ago)