No, that is not possible, mainly because the browser and the server need to be aligned when posting form data. Else, the server can misunderstand the date.
If you use another hostname together with a different IIS Application Pool, it is technically possible to configure different environmental settings. But having more than one URL is annoying when users are sharing direct links with each other.
I recommend the customer to get a consensus about the date format they are going to use for input.