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I'm told it can, but I doubt it moves much. You remove the barrel and reinstall it, I suppose it could change impact a small amount.To be safe, after my annual sighting in, I don't remove the barrel again until I do a good cleaning after season. I will run a bore snake through and may wipe down the inside of the receiver, but that's it.
Never been a problem for me. I do however have a mark on my barrel nut and one on my forestock and always tighten the barrel nut until those marks line up so the barrel is always put back on under the same tension. Even that may not be nessary I'm just detail oriented.