Most non alcoholic beers have up to 0.5% alcohol in them. Drink enough fast enough and it might show up on a breathalyzer. It would be a very small amount. But it could still be detected.
Most people would say, “No.” In recovery, you recognize you have an addiction and acknowledge the triggers you need to remove to remain sober. Sobriety is living alcohol-free in literal terms, and not the fine-printed “alcohol-free" on non-alcoholic beverages. To be clean and sober means abstinence from the substance.