Which HDMI port are you referring to? Most computers have HDMI outputs, but not inputs. The likely answer is no. It may be possible to hook your HDMI to your screen, provided you're not using an all-in-one unit, using an HDMI adapter to convert your signal to whatever input type your screen supports.
Of course, if you're needing to order an adapter, you may end up having to wait as long for an adapter to be deliver as your TV.