Nope.

For that matter, what about charging while using headphones?

That's a good question as during the presentation of the new features, one of them was called "Wireless" and for a moment I thought "Oh, so that's it, wireless charging too so no need for that strange dongle to charge the phone while listening to music!"

I expected exactly the same. Wireless charging was the first thing that came to mind as a basic "wireless feature".

If they had this thread wouldn't be going bat shit crazy about the headphone jack being removed.

Nope.