If you use evaporated milk or heavy cream then yes, you can freeze this soup after it cools. Other dairy products in the soup like regular milk or half and half will not turn out as well once thawed. If planning on making this soup for a freezer meal I recommend freezing the soup without the milk added and then thawing the soup to add it in just before serving as this will give you the best results.
You can freeze this soup in an airtight container for up to 3 months.