not possible
I wear an activity watch and it tracks my HR. While they aren't the most accurate, I burned 3,800 calories, according to its tracking, during a one-day, four round tournament recently. Another tourney this past fall, with a longer time control, I burned 4,275 calories on day one of the tourney (3 rounds G/120).
It certainly is possible.
I saw Joe Rogan talk about this on a podcast clip (Chess Grandmasters Burn 6,000 Calories on Tournament Days)
"Robert Sapolsky, who studies stress in primates at Stanford University, says a chess player can burn up to 6,000 calories a day while playing in a tournament, three times what an average person consumes in a day."
https://www.espn.com/espn/story/_/id/27593253/why-grandmasters-magnus-carlsen-fabiano-caruana-lose-weight-playing-chess
"I wonder if chess is the pinnacle of things that you do that aren't physical, in terms of movement, but are incredibly calorie taxing. I mean, that's a very complex game." - Joe Rogan