Can I see the stats of how much I have written during each day in a writing document?

is there a way?

IO think the best way is to see general stats for document (Tools > Words counter) within some time span (like 12hrs or sth) and compare it with previous values.

This might interest you:

It hasn’t been updated for a while, and I have not tested it extensively, but it seems to work (LO 5.3.3, Kubuntu 16.04).

It shows progress toward a target word count for the session. You might also like this blog entry on using targets for session wordcounts: