The opening hours of Taiping Old Street may vary depending on the stores, but generally speaking, they may be open as late as 10 to 11 pm at night. As for whether you can go there at one or two in the morning, many shops may be closed during this time, but there are also some night markets or specialty shops that may be open until late. It is recommended that you check the specific business hours of the relevant stores in advance, or ask local residents to ensure that you can go at the appropriate time.