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If your talking about a single intelligent species that exists other than us, than sure..
But the point is that there must be some background rate of species.. species are constantly dieing and popping into existance. And as such needing to hit the time period that one civilization is alive is only relevant if the number of species are very low... if % of planets have species on them at any one time, some just being born, and others just dying off, there would be a hell of a lot of chatter to catch.
So really the point is not that we don't need to hope our time of existence overlaps with theirs perfectly.. the only real question is if the percentage of space occupied by intelligent species high enough to be reasonable detectable. Even if a small fraction of planets had life on them, like one in a million, we would still have more than enough chatter to hear. Which means species that are intellectually advanced enough must be exceedingly rare, that poses a problem
