Perhaps there is, but once again it would have to be visible from our light cone in order for us to even be capable of detecting it. Even with a civilization of 100,000 or even a million years that's still tiny and highly unlikely to happen within a timeframe that intersects with our small window of awareness.
And even if these aliens have cracked FTL travel, who's ever going to find our little planet on the ass end of some mediocre galaxy, with an EM emissions bubble that has only covered 100 light years so far? Needle in a haystack.
Hmm, let's say there's 100 billion stars in our galaxy and one billion habitable planets. Assuming we are average, half, or 500 million have civilizations older than ours. We could assume some sort of distribution where we could say 10% are older than a million years. So 50 million civilizations older than a million years in the milky way. In a million years moving at 0.1c you move 100,000 light years, or across the whole galaxy.
They could have been here already before modern humans even existed.
Seeing how it took earth 4 billion years to figure out how to get inhabitants to set foot on another stellar body the rise of intelligence may be the unlikely event here.
Perhaps it's much more likely to have happened elsewhere in the galaxy 4 more billion years from now. If I remember correctly, stars with our particular properties haven't been around for too long.
I recommend looking into cool worlds lab since you seem to like inferring from the numbers.
And even if these aliens have cracked FTL travel, who's ever going to find our little planet on the ass end of some mediocre galaxy, with an EM emissions bubble that has only covered 100 light years so far? Needle in a haystack.