Well yes and no… i guess…

If they had the technology and lived only maybe 5000 lightyears away, they could get our messages in about 5000 years… i believe that by then we would have met already because technology is advancing at a tremendous rate and we are already researching different new types of drives for space transportation. It’s certainly still a very long time until mankind will reach 0.1 times speed of light, but 5000 years? Who knows what we have until then…

If you think you know, what we will have in 5000 years: think again… our ancestors from 5000 years ago would simply be unable to understand what kinds of tech we have. It would be magic to them… a simple lighter would mean you have to be a god!

Now if we today send out a signal into space, those who would eventually receive it would probably already know before any earth signal ever reached them.

And yes, i believe that we will find a way to effectively travel faster than light in that kind of timeframe.