Is it possible to create a View with a model but without creating any controller in Sitecore MVC 7.2.
Yes, you can.
It's easiest with Glass Mapper, but you can do it out of the box as well.
Glass implements a processor in the mvc.getModel
pipeline that looks for the model type in the View Rendering definition and creates an instance for you before executing the view.
See this tutorial for an example.
Out of the box you can create a Model item underneath /sitecore/Layout/Models
that refers to a class.
You can then select the model item in model field of your View Rendering.