Yes this would work. Rerender in Resolve, bring the media into Avid, it should relink.
If you originally imported the sound from WAV files and you still have those, you may simply select the audio clips in their bins and choose Batch Import. You may need to point the Avid to where the first file lives, and it would detect all others in that folder.
For this reason I always keep copies of all media on bare SATA drives, even after the project is finished. Much cheaper to spend 100 bucks on a 2TB drive than to spend several days rerendering / importing.