Instead of "go to checkout" I want to create my own bespoke order method

Basically my problem is this.

I want all the functionality of a online shop, but I don’t want any money to change hands. So that when the person has added their goods to a basket they will click a button called ‘send for verification’

This will then send out an email to three people with a details of their order. There may also need to be a PDF form attached to the email.

Is there a way this can be done via Market press with some custom coding?