The movies didn’t lie about space and time being distorted
Yes, it is true; time and space are different when around a black hole. The movies and books you’ve read are not entirely dramatized. The laws surrounding time and space explain that the faster you go, the slower time feels. These laws apply to black holes.
The intense gravitational pull caused by a black hole will affect the space and time of anything near it. This is guided by the theory of relativity, which explains that the closer an object is to a black hole, the slower time goes. The event horizon takes in a matter-like light with a black hole and traps it within itself. At that moment, the effect of ‘frame-dragging’ is created, hindering anything from moving in a direction opposite to what the black hole is moving in. Hence space and time are distorted.