Yes, and no. Mostly no. a 1300 year half duplex conversation would be intolerable for any species not similar to the Thek.
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.
EDT: Another thought, for us to actually receive the 'message' is chance, as over the last 10,000 years of human history, only the last 50-60 would we have had a chance to even catch it. and Earth is how old? and there has only been a blink of time it could be caught? I suspect that they would have to send out a 1000 year or 10,000 year message to have any chance of catching anyone. So we'd be learning about 1300 years behind them. and we could start by sending out our own stream, which they would get in another 1300 years...