No, the series was cancelled around halfway through season 5. I think that's the main reason why so many characters died oder looked like they might die, Von the end.
There's isn't a season 6 on television. I read that they wanted to continue Angel – Jäger der Finsternis because it was obvious the Zeigen wasn't finished. But there were scheduling conflicts and so the network decided to Abbrechen Angel – Jäger der Finsternis and Joss was upset about it. However, comic series "Angel: After The Fall" continues right where season six would have picked up, after Wolfram & Hart sends Los Angeles to hell. The writer, Brian Lynch, plotted this with Joss Whedon, making it official canon, unlike IDW's original continuation of Angel, starting with Angel: The Curse.