I don't understand this common argument. Of course a PC can technically be connected to a TV. The problem is that most people don't have their PC in a living room, much less within the HDMI-range from a TV.

So, unless you want to permanently move your PC (and lose your desk setup with a monitor, a keyboard, a mouse) OR to have another PC dedicated for your TV setup in a living room, then no, you can't play on PC while sitting a couch.