Yes, there is a end..... once you get the man to follow (Green target) the end shows up on the map as a red target.
Oh... the limitations of deadlines.... I had in mind to have obstacles to overcome by switching characters (tab works, but no instructions to use it!) to get through the maze of a city. Things like small spaces to squeeze through for the cat and big objects to push around for the man.
Just not enough time to really make things happen! There is a whole untold storyline as well, but alas the emotional heartbreaking story is now only a mere hinting in the title.
Neat comparison to Little Kitty, Big City, I hadn't heard of that! I wouldn't be surprised if also compared to 'Stray' which admittedly was something of an inspiration.