Unfortunately not. WAV files contain music data only. The MIDI sequence data used to generate the wav audio is not stored alongside.
There are ways to convert audio files, such as wav, mp3, ogg, to MIDI data, but that would only be useful as a starting point, and would probably work best for audio that came from a single instrument.
One such site, which asks the user to drag and drop their audio file into an area on the web interface is:
https://www.ofoct.com/audio-converter/c ... -midi.html
Do not be surprised if the end result is disappointing.
Another option is Audacity, which is free software that has a MIDI export option in the File menu.
Here is an excerpt from the techwalla website:
"According to the Audacity Wiki, converting more than a single melodic line from MP3 to MIDI is a challenging problem that, at time of publication, is being researched. If this is the case with a specific MP3 file that you open in Audacity, the software will detect that the conversion isn't possible. In this case, Export MIDI will not be available on the File menu and the MIDI format will be hidden in the Export Audio dialog."
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