Yes, if there is MIDI output of some kind-- either a standard MIDI OUT port or a USB-MIDI port-- then you can play back a user-recorded song on the keyboard and record the MIDI in a DAW on a computer. However, that generally requires a little bit of setting up if you want the resulting MIDI recording to be "just right," such as capturing the instrument setup of the voices and effects before the Note data, setting the tempo and time signature in the DAW to match the tempo and time signature used on the keyboard if you expect the measures to come out the same in the DAW, and possibly adjusting the position of the first Note event so the measures actually line up with the notes as desired. Of those things, capturing the instrument setup of the voices and effects is the most important thing, since failure to do that may cause all the tracks of the resulting recording to play back with the Acoustic Grand Piano voice for most channels, and the GM Standard Drum Kit for channel 10. But getting the tempo and time signature correct, and getting the notes lined up as desired with the measures, can also be important if you plan to add more tracks to the song inside the DAW, or use music notation software to display or print the musical score for the song, etc.
The PSR-E4xx series have a USB TO DEVICE port for plugging in a USB flash drive-- at least, the later models in the series do, beginning with the PSR-E433; the earlier models in the series did not. None of the models in the PSR-E3xx series have a USB TO DEVICE port. On models which have this port, there is a FILE CONTROL option that's accessed by pressing and holding the FUNCTION button. The FILE CONTROL menu includes options for converting a User Song recording to a Standard MIDI File which is written directly to the flash drive, as well as functions for loading style files from the flash drive, plus you can play MIDI song files from the flash drive. There is also an option to save or load the keyboard's setup-- including any and all User Songs, Registrations, and User Styles which happen to be in the keyboard's system memory (as opposed to its internal flash storage)-- as a "User File," which is a kind of backup file. The ability to convert a User Song to a Standard MIDI File is nice because it conveniently saves the tempo and time signature information to the file, creates a preliminary "SInit" (or "Song Initialization") measure at the beginning of the song containing all of the setup information for the voices and effects and other things (such as scale tuning), and then the actual notes begin in the second measure on the appropriate beat so all of the notes and measures are lined up exactly as you want them to be. And the ability to load styles, songs, and user backup files directly from a USB flash drive is nice because without that ability you must connect to a computer and use the Yamaha Musicsoft Downloader program to transfer styles and songs to the keyboard's internal flash storage, or to save or load a backup file.
