No, the printer does not have an automatic duplex printing mode. There is a tip in the operating instructions on how to print multi-page documents on both sides. (E.g. print all even pages first, then the odd ones on the reverse side, i.e. only manual handling).

My printer doesn't have duplex mode either. But otherwise it's generally a great device and the printer ink lasts for a little while

Our model does not have a duplex printing mode (or I haven't found it yet)