Answer
The magnitude of the displacement vector can be less or equal to distance travelled but can not be greater than distance travelled.
Work Step by Step
Magnitude of the Displacement vector is the shortest path between the initial and the final position of the object. Since it is the shortest path, it means there can not be any other path which is shorter than the displacement. But there are many paths greater than displacement.
Thus magnitude of the displacement vector can never be greater than the distance travelled by the object. But it can be less or equal to the distance travelled by the object.
In other words we can write it as an equation
$ |diplacement| \le distance$
