The statement is TRUE.
"Displacement" means the distance and direction from the start-point to the end-point, NO MATTER how you got there.
If you go out cycling and go back home when you're done, your displacement is zero. it doesn't matter how far you cycled, or what streets or woods you cycled through, or whether your route was a circle, a square, an ellipse, a triangle, or a jumble, or whether you cycled around and around the same path 27 times. You ended right where you started. The distance from your start-point to your end-point is zero, so your displacement is zero.