Earlier quoted context omitted.
You can maintain a very healthy body using only body weight exercises, with practically no weights at all from the comfort of your home. With youtube and the like, you have access to near infinite workouts as well. Not having access to a gym is not a sufficient reason to be out of shape.
Yet gyms exist.
The fact that push-ups exist refutes the false dilemma. The fact that gyms exist does not refute the idea that you can stay fit without a gym.