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Part of 2020 Iranian Combinatorics Olympiad

Problems(1)

On the Scores of Soccer Without Draw

Source: Iranian Combinatorics Olympiad 2020 P1

4/22/2020
In a soccer league with 20202020 teams every two team have played exactly once and no game have lead to a draw. The participating teams are ordered first by their points (3 points for a win, 1 point for a draw, 0 points for a loss) then by their goal difference (goals scored minus goals against) in a normal soccer table. Is it possible for the goal difference in such table to be strictly increasing from the top to the bottom?
Proposed by Abolfazl Asadi
combinatorics