Can a chess player promote all pawns to queens?

In standard chess rules, a pawn is promoted if it reaches the far side of the board. Usually, the pawn's owner chooses to promote it to a queen.

Is it possible for one player to eventually promote all their pawns to queens, in a legal game of chess? Assume the opposing player plays "perfectly badly" to allow this. However, if the game reaches checkmate, it must stop.

Answer

This 40 move solution on lichess works, and while it may not be the most orderly solution, it is impossible to create a solution in fewer moves since I'm using optimal pawn movement at every step and no other pieces (6 fields to move, 2 in the initial move, so 5 moves for each pawn to promote).

PGN of the game:

1. e4 f5 2. exf5 Kf7 3. f6 Nh6 4. fxe7 Kg8 5. e8=Q Ng4 6. f4 h6 7. f5 Kh7

8. f6 Qe7+ 9. fxe7 Nc6 10. exf8=Q Nge5 11. g4 Nf7 12. g5 Kg6 13. gxh6 Kf5
14. hxg7 Nb4 15. g8=Q Rh5 16. h4 Rg5 17. h5 Nc6 18. h6 Nb4 19. h7 Nc6
20. h8=Q Nb4 21. d4 Nc6 22. d5 b5 23. dxc6 Bb7 24. cxd7 Bd5 25. d8=Q Be6
26. c4 Rh5 27. cxb5 Rg5 28. b6 Rh5 29. bxc7 Rb8 30. c8=Q Rb5 31. a4 Rg5
32. axb5 Rh5 33. b6 Rg5 34. bxa7 Rh5 35. a8=Q Rg5 36. b4 Rh5 37. b5 Rg5
38. b6 Rh5 39. b7 Rg5 40. b8=Q

GIF: