You certainly can in US:
"For FedEx and UPS, you generally have 60 days from the shipment date to file a claim for lost or damaged U.S. packages. "
It is routine that a package gets to the destination and looks good. But when opened later, damage is discovered.
I didn't mean to imply it has anything to do with US laws. It is the terms of service you agree to when you buy something from an online retailer.
Here is Audiophonics terms for this area:
"Conditions for the return of the Products The Products must be returned in their original packaging and in perfect condition in the fourteen (14) days following the notification to AUDIOPHONICS by the Customer of their decision to excercise their right of withdrawal. Products are to be returned in full and in their original state (packaging, accessories, instructions document…) so as to be sold again as new, with the related invoice."
So same as US companies [bolding mine]. There is no other way to do it as otherwise, you could damage the product and then attempt to return it.
I suggest you start the process with your career if you have some insurance. Otherwise, see whether you can get part of your payment as Audiophonics is not able to sell the product as new.