Short answer - it's theoretically possible but extremely improbable. I found this very well referenced article explaining some of the challenges involved. Basically, we would need a REALLY huge receiver and we would need to know exactly where to point it. And we would need the extraordinary luck of pointing it during a time exactly like this one when a civilization has radio technology, but has not refined it enough to stop wasting huge amounts of energy pouring their signals into space.
But, this perspective is also taken from our current vantage point in a civilization that is barely advanced enough to start turning down the noise a bit. Fractal antennas, for example, were a huge game-changer in this area in some ways. Cell phones are much smaller now AND have better range, and we haven't even been using this tech for 20 years yet. So what might be possible in 100 years?
There are more and more antennas on this planet every day. I haven't found any data on the exact exponential growth rate, but I would venture a guess that the quantity of similar quality antennas has been doubling every 5 or 10 years recently. They are not directional, but who's to say that some new breakthrough in 50 years won't allow
the NSA SETI-at-home to tap into every device with an antenna and use the whole planet as if it was one big ear and with precise timing circuits, quantum computing, intelligent noise cancellation, and crazy new signal processing technologies, be able to hear the entire sky at once with sufficient sensitivity to hear the birth of a new technologically active civilization of cuddle-fish people.
Until some of these sci-fi ideas become a reality, no, I don't think there's any real chance of hearing anything. But let's just wait and see what somebody comes up with next. I think it might become possible one day. And if so, maybe someone will hear us as our signals continue to dissipate out into deep space over the next several centuries.