That pin sure looks like it’s damaged. But you need to buzz it out with a meter to be sure.
The connector itself is soldered to the white PCB. It looks like a through-hole mounting, not surface mount. Removing and replacing it is definitely doable with the correct skill set and tools, but would be impossible for someone who doesn’t have the tools or the experience to do it.
It’s hard to see exactly how it’s damaged from the images. It could just be surface corrosion (which is probably actually galvanic corrosion. Something you lazed had the right combination of chemicals to attack that pin because current was flowing through it. The pins are gold plated, not solid gold, so if there’s even a tiny spot that was not completely plated, corrosion will get in at that point).
Assuming it’s just surface corrosion, you might be able to “freshen” it up with some gentle scraping with the tip of an Xacto knife. And if it’s truly eaten-through from corrosion, you might be able to hit it with a little solder to bridge the gap and restore connectivity.
If you’re not under warranty anymore, and you have the skills to try to fix it, I can’t imagine it’d be worse for you than just sending the printer in, even if you fail. All that GF is going to do is replace that entire PCBA, they’re extremely unlikely to make the effort to repair it…
I don’t think this is an electrical over-stress failure. I doubt that the ribbon cable can carry as much current as one of these pins. The ribbon should have shown signs of heating.