Theoretically, it is possible, because the parallel world setting of Moon's worldview is such that the world line with almost infinite branches but not reaching an event node will not be continued, and this world line can also be regarded as history in a broad sense, so as long as it is not officially specified by fgo, it will still be the history of Moon.

In addition, if there is anything special about fgo, the restored history will turn things into various logical facts, for example, the United States may be changed into many times of civil strife.