Contrary to the popular belief of there being only one script per period, there were in fact multiple scripts in use during the Han period. Although mature clerical script, also called 八分 (bāfēn) script, was dominant at that time, an early type of cursive script was also in use by the Han by at least as early as 24 BC (during the very late Western Han period),[b] incorporating cursive forms popular at the time, well as many elements from the vulgar writing of the Warring State of Qin. By around the time of the Eastern Jin dynasty, this Han cursive became known as 章草 zhāngcǎo (also known as 隶草 / 隸草 lìcǎo today), or in English sometimes clerical cursive, ancient cursive, or draft cursive. Some believe that the name, based on 章 zhāng meaning "orderly", arose because the script was a more orderly form of cursive than the modern form, which emerged during the Eastern Jin dynasty and is still in use today, called 今草 jīncǎo or "modern cursive".
Were multiple scripts used during the Han period?
there were in fact multiple scripts in use