Yes, it is possible, but there would be other problems.
For instance a lack of vitamin D, human beings need exposure to sunlight to make vitamin D.
Also, plants grown under lights are slightly different than plants grown in sun and they may lack key vitamins.
Then of course, you'd need electricity.
The practice is generally referred to as hydroponics.
Solid human waste isn't a good fertilizer as well. There is too great of a risk of pathogens if it is used to fertilize food crops, it would need to be heavily processed. Urine is sterile though and would be fine if it is diluted and the human making it doesn't eat a lot of salt.
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