You can increase the field of view to give a more fisheye appearance but the drawing you show has some false or manufactured perspective. It’s not consistent over the entire image. That is fairly easy to do when hand drawing but difficult to do in SketchUp without distorting the model itself.
I run into a similar thing with projects I do for one of my big clients. They have an artist who hand draws the same objects I am modeling. The artist can take liberties with foreshortening certain parts without doing the same to others and making other slight distortions that are recognizable as distortion but they are different from the similar views I make.