Gravity, according to Newton's theory, does indeed attract all objects with mass towards each other. All objects with mass exert gravitational force on other objects with mass. The magnitude of this force is directly proportional to the product of the masses and inversely proportional to the square of the distance between them.

So, yes, gravity pulls all objects together. However, the gravitational force between two objects is only significant if their masses are large enough and the distance between them is small enough. For example, the gravitational force between two small objects like two people standing next to each other is negligible compared to the gravitational force between the Earth and the Moon.