No, I would disagree he is
"picking" his cotton..............He is maybe (harvesting) and/or gathering his cotton..........but he ain't "pickin' it".
My parents were born/raised in Mississippi. I spent most every summer as a kid down there and had (very brief) experiences as to working with cotton. Kids were let out of school to "pick" cotton back in the day.........they drag long bags behind them as they "picked" each cotton bole. I maybe picked three or four plants myself and also plowed a whole row behind a mule. Also "chopped" cotton too.
Just sayin".....................