Gravitational force is an eternal force. it exists as long as we have more than one object in consideration.

because F=(Gm1m2)/r^2

so as long as two objects are involved gravitational force will be there.

however in day to day life the mass involved of the daily objects are so less that we can't notice the gravitational force due to them. This is because the value of G is very small. Gravitational force can only be visualized with heavy mass objects such as heavenly bodies like sun, earth, moon etc. There exists a gravitational force between all objects in the world. However they are very less in magnitude compared to earth's gravitational force that is effect and order can be neglected.