Of course everything is possible. But if this is indeed a message from another intelligent race, it would be really old so the odds for us to discover it are highly against it. It takes 8 minutes for even light to arrive to Earth from Sun and radio waves are slower. And as we all know, there is not that highly intelligent life in our Galaxy, so it should arrive from another galaxy which would take years to arrive for us to detect.
Yes, the deep-space radio wave burst discovered by astronomers could be intelligent life trying to communicate with us. The waves found by scientists should be further analyzed to see if they are from us, organic, or caused by another type of life. We may benefit greatly from any wisdom other life-forms may share with us.
Nothing is impossible. And if intelligent life outside our galaxy were to try to communicate with another planet, I imagine a deep space radio wave would be the channel for it. I would not dismiss the possibility that this is a form of communication from another species in another galaxy.
The radio wave could be a sign of life. It is not likely that nature would create that type of radio wave by itself. It's likely that life on another planet would not be able to speak the same language as people on earth. They are likely looking for a way to make their presence known.
The distance of this signal makes it an impossibility, barring some breaking of the known laws of physics. The signal source is believed to be 3 billion light years away. Meaning that we are detecting a signal that is almost as old as life on earth. That is only taking into account the time it took for the signal to get to us, not the time for them to detect us.
How cool would it be if we had neighbors in space that were reaching out to us? I am skeptically hopeful that we aren't alone in the universe. The laws of probability and recent data on the number of planets the right size to support life support the existence of extraterrestrial life. I just think connecting with them will be a leap of faith unless and until it actually happens.