Yes, and no.  Mostly no.  a 1300 year half duplex conversation would be intolerable for any species not similar to the [Thek][1].  

The most useful would be to start a constant stream of communication back to them. Like a tv station.  Just keep broadcasting.  With any luck, after 2600 years (from the first message sent) if the civilization that started the call, still existed, heard the message, and were willing to respond, then they could start sending out a constant stream back. 

Doing a constant stream of data, would allow for an exchange of cultures and ideas, but they would always be about 1300 years behind actual developments.


  [1]: http://mccaffrey.srellim.org/series/dpp-aliens.htm