Sure there is a wayFeatureClassToFeatureClass(in_features=None, out_path=None, out_name=None, where_clause=None, field_mapping=None, config_keyword=None)Notice the third parameter is out_name, this is where you would specify the featureclass name.
Use arcpy.FeatureClasstoFeatureClass instead. You can specify the name and location of the output fc.
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