This seems like a variant on the "Where is everybody?" argument against the existence of extraterrestrials.
Aside from possible environmental incompatibility and the possibility that they are simply too far away anyway, there's no guarantee they'd detect us. We've only been broadcasting for a little over a century. So there's a radio shell with a diameter just over 200 light years across surrounding Earth, and at that distance, who knows if it's even distinguishable from background radiation?
That said, I'm not optimistic about FTL travel being possible. Just this isn't a good argument for that view.