That was going on long before the Reformation.
And practically all people who were educated in the West read Latin anyway.
What really made Scripture accessible to everyone was the same thing that made books accessible to everyone: the invention of printing.
A complete Bible, back in the days when books were hand-copied, cost the equivalent of a nice automobile today. Unless religion was a person's line of work (in which case his Bible was bought by his employer), or he was very wealthy, owning a Bible was not really practical.
The Reformation's intent was mass distribution. This was now possible because of the printing press. I've been to Mainz Germany to see Gutenberg's press, and it is awesome that this invention, in the midst of this conflict, came about at just this time of supreme corruption and just this time of a courageous man willing to speak out and to translate the scripture into his native German.
God's ways are too wonderful for the mind of us finite humans.