Can an object exist without gravity? If yes, how?

It is possible for objects to exist without gravity but they will be behaving differently from the usual items that exist with gravity. For example, objects that rely on gravity will be able to stand on the ground easily. Those that do not have gravity will float in space.

For example, if a room does not have gravity, the people will float towards the ceiling and it is not only living things that can get affected by the lack of gravity. Even those that are non-living will be able to rise up without gravity. Living things will find it harder to function because they may require other items in order to survive.

It is tempting to imagine that an object could exist without gravity if it was placed outside the Earth's atmosphere and 'pull'. After all, objects and people inside space craft that have left the Earth float and have little control over reaching other objects.

However, Einstein's theory of relativity asserts that gravitational forces exist between every pair of objects in the universe. If an object has mass, it must have gravity. There are advanced scientific discussions about whether any conditions could theoretically exist that would alter this, or rather, where it would not apply, but I think you have to get your first degree in Physics first before worrying about the question.