To answer your question, I suppose its possible to cause you probs if you've been referencing your arrow deliberately.
However there are a number of things that could be causing it. A faulty release may be causing deflection. Under correcting your shoulder alignment will cause you to pull to that side. Thinking you are following through with bow arm, when in fact a person can relax a fraction too early...the list can go on.
If the new arrows are tuned better then the old one's, that fact might be showing its self by causing that bit of correction from what you're use too. However, if the new arrows are not as finely tuned as the first set, any little flaw in the above mentioned possibilities list will be magnified.
The two things that most often plauge us, are our release, and being over spined thinking we are tuned or slightly weak. The release can change that, and tuning can cause us to experience some mighty confusing results if we have not perfected a solid release. Keep shooting them, and shoot them alot. Watch for changes in your rest material and strike plate. Being over spined, and/or producing a faulty release, will begin to show its self in wear on them. There should be no changes if all is truely well. Our release must stay in line with the arrow, or we will change the arrows flight.