No. The purpose of an arraignment is inform you of the charges to you and ask if you can afford an attorney. The judge knows nothing about your case, so explaining anything to him or her would be a waste of time. And it only slows the process down, which is designed to get through all the cases on calendar and irritates the judge. Wait until you get an attorney appointed and he can explain to the judge your side of the story.
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There is a time and place for everything. I would not say anything to the judge at arraignment other then entry of your not guilty plea.
You can't win the case now. So....wait until time comes.