Hmmm... Well technically you can, but it's not a standard metaphor, so people will not think that you mean "running away from problems"
So does this mean more in the sense of running away from place to place? Rather than say, eloping with a lover or running away from a problem?
What about are you walking off? I thought of someone leaving while the other's still taking "Are you walking off on me right now??"
No, not really, since it says "Løber" which is directly "Running" and that means that he is running right now. if it was "Will you run away" then It should have been "Vil du løbe væk"
I notice that - if I'm hearing it correctly - væk is pronounced V, not W. Is there a rule for that?
Why would it be pronounced W? Danish V is never pronounced W, is it? For me, incidentally, the interesting thing about "væk" (which I couldn't really guess the meaning of the first time I saw it written down) is that it sounds almost exactly the same as the German "weg" (with the same meaning) -- so that hearing it I had no problem understanding what it meant! I'm guessing that German "Geh weg!" would be "Gå væk!" in Danish. :)