Yup, both are possible! (is your brain exploding yet from all your cool questions?)
However if they are technologically advanced intelligent life-forms, it's dubious they would not have the resources to make "broad-casting devices", but they certainly could be physically and intellectually advanced intelligent life-forms and not have "broad-casting devices".
As to your question of the signal not reaching us yet we would need to make a few assumptions about how long they have been transmitting given that the electromagnetic spectrum travels (pretty much) at the speed of light. So if they have been transmitting for 10,000 years, you could expect a radius of 10,000 light-years.
Another possibility is that most if not all technologically advanced intelligent life-forms self-destruct before long and hence don't put out much electromagnetic for extended periods.
Another possibility is that most if not all sufficiently advanced intelligent life-forms soon metamorphosize into the equivalent of non-corporal life (what some might call godlike) and are indifferent to the physical world as we know it. Childhood's End by Arthur C. Clarke
is about such a consideration.