Not sure what you are asking, are you looking for a remote way to swap inputs on the TV from Windows? No way unless the TV has that option built-in.
Unless you are asking something else and just did not make the question very clear. What you mean by "same HDMI connection"? You need to list a reference, you can't just say stuff like "I want the room to be the same color", you need to say same as what color? And don't assume we know what you are looking at, "I want the room to be same color as my car" is also a bit useless unless you also say what your car color is. So same HDMI connection as what?