Point light has too sharp edges

Is there a way to make point light’s outer part much less sharp? I want to make outer part’s gradient from full light to blackness much larger and wider, so it would not look like circle and would be more blurred. Currently it is too ugly.

Changing INTENSITY and RANGE doesn’t make anything better looking.

Is modifying shader only way to solve this?

yes, you’d likely have to modify a shader or write your own, i would start here if you want complete control:
Unity - Manual: Custom shader fundamentals (unity3d.com)
Rendering 2 (catlikecoding.com)

i’ve never used surface shaders, but they should be an easier way to modify lighting without doing a bunch of rewrites for passes etc.

Unity - Manual: Writing Surface Shaders (unity3d.com)
Unity - Manual: Surface Shader examples (unity3d.com)
Unity - Manual: Custom lighting models in Surface Shaders (unity3d.com)
Unity - Manual: Surface Shader lighting examples (unity3d.com)

I’ve done that by modifying the shader include which calculates the point light attenuation.
See this post: Best practices for modifying standard shaders?