Hi RichiLIVE,
Yes, it's possible. Two ways to do this:
1.
You can set HikaShop in Catalog mode, the customers can only see the products, but can't add it to cart.
You create a form with Joomla, and the user tell you which item he want.
2.
Set a normal store with HikaShop, in the Configuration > Checkout, remove all the steps but not the "Fields".
The customer will not have to pay, choose shipping ...
Create custom fields in HikaShop > Display > Custom Field, in your case one field for the name, you can set it to required.
You can disable the order creation mail, or edit it to set the text wanted, for example "We received your request".