Yes, a faulty MAF sensor can absolutely cause a rich condition in Bank 1 (or both banks). The MAF sensor measures the amount of air entering the engine. If the sensor is malfunctioning and reporting a higher-than-actual airflow, the engine's computer (Powertrain Control Module or PCM) will inject more fuel than necessary, resulting in a rich air-fuel mixture. This is especially true in Bank 1 if the sensor is partially blocked or faulty only on one side of its sensing element.
However, a rich condition can have other causes too. A failing oxygen sensor (O2 sensor), problems with the fuel injectors, fuel pressure regulator, or even a vacuum leak could also contribute. A proper diagnostic scan using an OBD-II code reader is necessary to determine the root cause of the rich condition, rather than just focusing on the MAF sensor alone. The codes will pinpoint the areas that need further investigation.