Absolutely. All of the news organizations vary one way or the other a little, changing with time. I'm talking overall. CNN is not a left wing news site, though they may show bias concerning certain stories, that bias is not constant, nor is it persistently left. Aside from Huffpo and perhaps NPR, I cannot think of any large news that is clearly constantly left bias. The right has labeled things like Snopes as left wing though, so it's hard to keep perspective.
“Eternity is a terrible thought. I mean, where's it going to end?”
― Tom Stoppard, Rosencrantz and Guildenstern Are Dead
― Tom Stoppard, Rosencrantz and Guildenstern Are Dead