Is it possible to enter Dart code directly into the Chromium Dev Tools Console?
It is not. I actually requested this feature on the bug tracker a while back but I can't seem to find it. IIRC, it has to do with the fact that you'd have to be running the code within a particular isolate, which at the moment is not possible. In javascript, everything is global so there is a fundamental difference.
It is possible if it has the Dart VM... I run Dartium but I guess that it can be similar!
https://drive.google.com/file/d/0B1XajbEHFd35OFRJSU5hR0FPZlE/edit?usp=sharing
You have to change in the context menu.If this answer doesn't work for you I'm sorry...