The short answer is yes. Research 4 Channel Mode and MTR (multi track recording)
https://helpwiki.evergreen.edu/wiki/index.php/Zoom_H4n_Audio_Recorder_Operating_Guide
4CH Mode – Simultaneously uses the H4n’s built in stereo mic and inputs [1] and [2]. Recording volumes are controlled by source. Before using the REC LEVEL (+) or (-) button, you must first choose which source you wish to modify the volume for by pressing the corresponding input select button.
NOTE: The REC LEVEL (+) or (-) button should not be confused with the VOLUME (+) or (-) button found on the other side of the recorder. The VOLUME button controls the levels of audio output (the speakers or headphones).
MTR Mode – MTR mode is designed to record onto 4 separate tracks. Each of the tracks can be recorded and modified independently from any of the others. Additionally, tracks 1 & 2 or 3 & 4 can be recorded together. Each track can record from any of the input sources. To begin recording in MTR mode:
Choose which track (or pair of tracks) you would like to record to.
Choose the inputs you would like to record onto that track.
Steve Crow