No, all planets around a star are using the energy from the star. We are using the energy of our sun. That mean, as a system, a planet is not a closed system, but as a solar system, to all intents and purposes, the solar system is 'enclosed'. (it realy isn't, but for practical matters, it is).
Life can exist because of the pumping of new energy into the system of the earth from the sun. The sun is 'gaining' entropy as it uses up the hydrogen in fusion.
All planets gain energy from their respective sun. It is just on earth, we know that this energy is being used to provide energy for life.