Dry hopping adds flavor by the beta acids, the bitterness is from the alpha acids. Theoretically, it should work.
My concern would be variability and lack of control, but not knowing exactly what the bittering impact would be. You can't easily add bitterness if it's missing, and could have a bad beer because of this.
Give a man a beer, waste an hour. Teach a man to brew, and waste a lifetime! Bill Owen quote
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