No.
Administrative agencies do not work on weekends. Unless the Saturday or Sunday of May Day or National Day is adjusted to working hours, you cannot apply for a business license.
Legal working hours: The average monthly working hours of workers is 21.75 days. If a worker's salary needs to be converted into daily wages or hourly wages, the conversion shall be based on 8 hours per day and 174 hours per month. (January to December)
Extended information
1. Supplementary office hours of each department:
Monday to Friday (morning) 8:30-12 : 00
Monday to Friday (afternoon) 2:00-5:30
2. Registration hall opening hours
Monday to Friday ( Morning) 8:40-12:00
Monday to Friday (afternoon) 2:00-5:00
3. Convenience service window office hours
Saturday 9:00-11:30
Baidu Encyclopedia - Administration for Industry and Commerce
Baidu Encyclopedia - Legal Working Hours
Government Network - State Council Notice from the General Office on the arrangements for some holidays in 2019