The HDMI on the laptop is output only. Laptops don't usually have inputs. You might actually damage things doing this as you are connecting two outputs together and they are both trying to send a signal to each other.
Well, technically, it is possible. You can use some video capture devices connected by USB port like: VC100DUSB-HDMI 1x HD HDMI Capture Dongle. But, it is cheaper to buy a used monitor or TV.