Of course not. The novel about Ji Qin is just a story made up by Huang Yi. Don't take it seriously If you say it's a TV series, there will be more mistakes in the TV series. For example, in the second episode, the old lady of the family that let Xiang Shaolong stay for one night actually planted sweet potatoes on their land. Sweet potato was introduced into China in the late Ming and early Qing Dynasties, which means that the sweet potato in TV series is in China.
This sentence is also on the restaurant menu. The word on the menu of Zhao restaurant is Xiao Zhuan, which appeared after Qin unified the six countries. At that time, even the state of Qin was using Da Zhuan, its enemy Zhao.
Therefore, they are all fictional stories, so don't take them too seriously.