No, if you mean that a gravitational field can be changed.
Note that gravitation and magnetism are two DIFFERENT forces! Magnetism can be induced in materials, but does not have any real relevance to earth's attractive force.
Gravity by definition is a mutual effect of the interaction of two masses. The gravitational force is proportional to each bodies' mass and the distance from each other. Therefore, gravitational interactions are always “matched”.
Trajectories, on the other hand, can result in anything from slight perturbations to actual impact with each other. Gravitational effects of two bodies can have an equilibrium point, such as the L-4 and L-5 orbits between the earth and the moon. But that is not the same thing as changing the moon's gravitational field to “match” that of earth.