I have one HDMI cable in my house. Will it wear out if continue to switch between Xbox 360 and Dircect TV box?

HDMI cables do wear out over time, but only if they are consistently bent or if the connector pins are damaged. If the cable is not being bent or damaged, then it should last for a very long time, regardless of how often you switch between devices.

To extend the life of your HDMI cable, it is important to take care of it. Be careful not to bend the cable too sharply or to damage the connector pins. If you need to disconnect the cable, be sure to do so gently and carefully.