Was Ban Shu from the TV series Ban Shu Legend a descendant of Ban Gu? The answer to this question was not completely certain because the plot of the TV series Ban Shu Legend did not clearly state that Ban Shu was a descendant of Ban Gu.
According to the storyline of the TV series Ban Shu Legend, Ban Shu was a woman at the end of the Han Dynasty. She was born into a wealthy family and later came to a small village because of the decline of her family. There, she met a young man named Ban Gu. They fell in love and got married. Ban Gu was a talented writer whose literary works had a profound influence on the literature of later generations.
Although the plot of the TV series Ban Shu's Legend did not explicitly state that Ban Shu was a descendant of Ban Gu, we could guess that Ban Shu might be Ban Gu's great-granddaughter or a descendant of his great-granddaughter. Because Ban Chao, Ban Gu's ancestor, had served as the Governor of the Western Regions at the end of the Han Dynasty, he left behind a lot of family history. If Ban Shu was a descendant of Ban Gu, then she might have inherited her ancestors 'business and left her bloodline in the Western Regions or other regions.
I don't think so. There haven't been any official announcements or indications that the HxH manga will continue. But you never know, maybe there'll be a surprise in the future.