It is true that an object will travel with escape velocity of earth once it will cross escape layer of earth but one condition is there it should not acted by an outside force.I
In an ideal vacuum, the ship would not use any fuel. It would just go from one star to the other, coasting along the entire time. The ship do not need fuel to accelerate.
In reality, the ship would experience drag from the interstellar medium - the atoms and bits of dust floating around between stars. This drag is highly velocity dependent,because of this drag force velocity of the spacecraft will decrease and to neutralize the effect of drag force we need fuel to accelerate space craft so that velocity of satelite will not decrease.