The printing press did displace the manual copying of manuscripts, which had insanely low bandwidth and generally kinda sucked for everyone involved. But for several hundred years after, until the industrial revolution and the mass production of mechanical typewriters, pretty much everything printed on a printing press was originally authored by hand. Even with typewriters handwriting lingered for quite a while, since they were very demanding in terms of skill, and all mistakes were permanent.
Arguably it's not until digital writing tools emerged handwriting was truly displaced. That made typing on a keyboard accessible enough that anyone with working hands can do it fairly easily.