Can we think of a new media free of remediation? Grab a handful of sand, and dribble it into someone else's hand, conveying some feeling (boredom, constipation, etc).
Is this a remediation? In a sense, it is a remediation of something like radio or oral storytelling. This is true simply because it manipulates time, but is there a deeper connection? If the only shared feature is manipulation of time in similarity to human experience, then what explanatory power does the concept of remediation have here? Why isn't enough to consider the relationship between each medium and human experience individually?
Now, if you are using techniques in the sand medium which make use of structures in the human which were put there by radio, then yes, that is remediation. But can't a medium simply play on inherent human processes which are exist independently of media?
Does your definition of media have to be ridiculously broad to answer "no"?