Could a Jedi or Sith hurt Superman?

Could a lightsaber cut Superman's skin? Even if it did, would a yellow main sequence star regenerate his wound before he could feel any pain?

And what about the Force?

We all know Superman is weak to magic, but is the Force actually magical?

The OT definitely had the Force lean into a more supernatural fashion, but the prequels established that is actually a biological adjacent phenomenon.

While I'm mentioning superheros and Star Wars, what do you think the Jedi would think of the Green Lantern Corp.?