On-The-Fly product creation?

[d0ublezer0]

Suppose you have a page on which you made certain calculations, the results of which we will produce a product with these parameters. Unique product, with the specified parameters: size, volume, color, material, etc. (Variations and dependencies too much to them in advance to create a custom field in the VM).
I would arrange to have the result of calculations can be sent in a VM as a finished product. And the calculated parameters can be specified in a note, for example, or in a custom text box.
Next, the manager handles the request and will contact the buyer.
Ie need to create a product "on the fly" pass in the parameters (name, description, calculated price) and save it in a VM, adding to the basket.
Is this possible?