Is there any halakha that forbids the reading of the 24 books written Tanakh, during the night?
It is permitted to read Tanach at night. thereis a prefferance if one has the option to learn Tanach by day and the oral torah at night. However if this is when you can studt, it is permitted. there are thse who are careful about this, but the halacha is that it is permitted. Please see the following posts which discuss similar questions. https://dinonline.org/2020/04/05/tehillim-at-night-3/?swcfpc=1