Well, I've caught this problem now too. I've had Eden for at least a year, and I quit playing it for a while before yesterday.
As soon as I fired the launchers up, I was prepared for the mountain of patches to install- I thought. But then the http cannot connect error kept appearing every few seconds. Moreover, the launcher literally breaks my connection to internet when said error is given. I have to constantly restart the launcher and hope it made progress with downloading files, so the bar doesn't have to start all over again.
I edited the Launchermod file, ran in administrator mode, and still the file just goes back to the default settings and the error keeps appearing.
Someone please help!!
Edit: It took two hours of restarting the launcher every few minutes, but now I'm finally up-to-date. EE works and it's all fine, but this issue isn't gone when updating.