No. Dyed in some way or another, either by spraying the dye on the blooms or absorption through the stem. If it was real, it would have made the biggest noise you've ever heard in the rose world.

Too bad... It's a nice shade of blue. I didn't know flowers can absorb dyes...

Yes, many of those odd colored carnations you see sometimes are usually dyed. A lot of restaurants aroound here will put food coloring in a vase and then a cut white carnation, and the carnation will turn the color of the water.