No.
You simply won't be doing enough damage to do so efficiently (think 5-6 damage every 2 secs without a marksmanship score). I'd recommend that you use a skill like Sprint to run them down.. In fact, every warrior should have a sprint/cripple specifically for these situations (I also like Sprint for Oh-Crap-our-MONK!).
But, if you don't want to do that, perhaps you could use some of your monk skills? Bane signet is the only one that comes to mind, and it doesn't do much damage, but it IS a 0-energy skill based on your Smite score, which is more useful for W/Mo than healing anyway.
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