Just like the Fermi paradox that argument can be turned around.
Imagine if a civilization had sprung up on this planet 100 million years ago. Let's say some dinos developed brain power and invented rudimentary technology. However much you like. Whether using caves as homes and using fire to cook, all the way through to the invention of the steam engine.
Is it conceivable that we wouldn't find traces of their activity in the fossil record?
And let's say humans go extinct very soon. Then imagine a hyper intelligent species of squid rising up and becoming the planets foremost species. Is it conceivable that they themselves wouldn't find traces of humans as they dig through the future earth?
If their civ was anything like ours we'd know. Our impact on the biosphere and climate is massive, and will leave a huge evidence in the fossil record, the sediments and so forth.
I really don't see how you fan look at the maths of the situation and feel that it it's in any way likely that Humans are the first, let alone the only technological civilization in the entire universe. Even if you meant just the Milky Way, it's still pretty ludicrous IMO. Effectively alone, sure, but now unique.