Blender Deform or Bent Reflection on a smooth surface

This is regular reflection, whether you use Glass BSDF shader or Principled BSDF

Now add a Noise texture node, you can press and hold ctrl + shift & click on the specific node to view the result on viewport

Now control the Noise texture output as a black and white Gradient with a Color Ramp Node then connect the dimmed Color output to the IOR of the Glass BSDF node, and you are done, you have a deformed or bent reflection on a smooth surface