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Check out the NIST database for electronic configurations for atoms and ions in the gas phase. If you play around a bit, you will find that yes, some ionizations will not follow the expected trends from the aufbau principle. For example, search for rhenium and compare the configurations between $\ce{Rh^{11+}}$ and $\ce{Rh^{17+}}$, and you'll see some of them are unexpected (and rather hard to explain). There are other elements with ions containing aufbau anomalies, but I can't remember many from the top of my head.