No, it should not get hot enough to cause a first-degree burn or leave marks. A charger can become warm during charging, but it should not be unsafe to touch.
Please stop using that charger for now. Unplug it from the wall and the laptop. Also check the USB-C cable, charger brick, and laptop charging port for any melting, discoloration, burning smell, loose fit, or damage.
- Is this the original HP charger that came with the laptop?
- Does it get that hot even when the laptop is turned off or only while gaming/heavy use?
- Are you using a direct wall outlet, or an extension cord/power strip?
Since it is causing burns or marks, I strongly suggest having the charger and laptop charging port checked by HP or an authorized service center. Do not keep using it until it has been inspected. If the charger is faulty, replace it with a genuine HP-compatible 65W USB-C charger.