Given how much randomness was involved in our creation as a species, let alone our technological ascendance, it is highly unlikely that other intelligence would develop in exactly the same amount of time elsewhere. It's astronomically unlikely. If they didn't develop at the same time as us, they're either still incapable of radio or have had radio for a long time. A long time in the life of the universe certainly doesn't mean 100 years, it means much longer. Even if it's only 1000 years, if they progress at anything like the rate we do, they'll be massively more advanced than we are.

If a species only has radio for a short period of time (like 200 years) and then disappears or loses it, the odds of overlapping with them are virtually nil (if they die out after getting this far, it says we're much more likely to die out soon too).

And I don't know if they would talk to us before we'd talk to them. Stephen Hawking has a lot to say about why trying to communicate with other civilizations is a bad idea, and they might be smart enough not to try.