Can I recover permanently deleted voice recordings from my iPhone?

If you have regular backups you can restore a backup made before they were deleted, but that will overwrite everything on your device with the contents of the backup. There is no way to restore selectively.

"Can I recover voice recordings that were permanently deleted from my iPhone?"

-------

Recovering Voice Recordings:

Being there is no Recently Deleted option for this...

Recommend this Feature to Apple:

Do your Part: Report this to Apple. Apple may not get back to you directly, but the more feedback Apple receives on this, the more they will know what is their customers prefer, and what and what features to include in updates to come. Apple will know nothing of your thoughts, if you don't provide them with them.

1. Go Here: Feedback - iPhone - Apple
2. Select: "Feature Request" for the "Feedback Type"
3. Comment: that you want this to be an option and why. Include the URL to this thread.
4. Proceed from there as necessary