No, you can't use the console commands from the webchat.
EDIT:
We could however change the webchat command handlers to return a bool and a string. Then the webchat would show the returned string. That way we could simply bind the console commands to the webadmin.
EDIT:
We could however change the webchat command handlers to return a bool and a string. Then the webchat would show the returned string. That way we could simply bind the console commands to the webadmin.