No. History is faith-based, especially on individual activities. Even mass activities such as Nanjing Massacre reckoned by the UN lack proof that it can be denied by the Japanese.
God, like history, is a result of testimonies from the claimed eyewitnesses in different periods of time. They all portrayed a God with the same set of characteristics.
As an analogy, your grandpa wrote a book about his grandpa on how he said about people he met in his life. What proof does your grandson have when he reads the book (about the persons met by your grandpa's grandpa)? That's what history is on a person meeting another person.
That said. God if true can only be conveyed this way in testimonies left behind by the chosen eyewitnesses, simply because He has a covenant with humans which demands faith for humans to be saved. Thus He won't show up publicly but only through His chosen eyewitnesses.