Claiming a dead draw

In the following game I "lost" because my flag dropped, but I can claim a draw ( in face white is winning in the final position and endgame). Does lichess allow this?

I should mention there was no time increment, which is why I wish to claim a draw.

EDIT: I played this game here on lichess, not OTB.

[Event "Rated Classical game"]
[Site "lichess.org/bElWIBX2"]
[Date "2019.07.24"]
[Round "?"]
[White "RegisterMeAlready"]
[Black "Gambitmat86"]
[Result "0-1"]
[ECO "A95"]
[WhiteElo "2112"]
[BlackElo "1901"]
[PlyCount "134"]
[EventDate "2019.??.??"]

1. d4 f5 2. g3 Nf6 3. Bg2 d5 4. Nf3 e6 5. O-O Be7 6. c4 c6 7. Nc3 O-O 8. Qc2
Nbd7 9. Ng5 Nb8 10. Qb3 Ne4 11. Nf3 b6 12. cxd5 cxd5 13. h4 Ba6 14. Re1 Bc4 15.
Qc2 Nd7 16. Nxe4 fxe4 17. Ng5 Bxg5 18. Bxg5 Nf6 19. Bh3 Qd6 20. Bf4 Qe7 21. b3
Ba6 22. Qc7 Rfe8 23. Rac1 Rac8 24. Qxe7 Rxe7 25. Rxc8+ Bxc8 26. Rc1 Ba6 27. Rc6
Kf7 28. Bd6 Bb7 29. Rc3 Rd7 30. Bb8 a6 31. Kf1 Ke7 32. e3 Ne8 33. Ba7 b5 34.
Ke2 Rc7 35. Rxc7+ Nxc7 36. f3 exf3+ 37. Kxf3 Kf6 38. Kf4 h6 39. b4 g5+ 40.
hxg5+ hxg5+ 41. Kg4 Kg6 42. Bc5 Bc8 43. Bf1 e5+ 44. Kf3 e4+ 45. Kf2 Ne6 46. Be2
Nxc5 47. bxc5 Kf6 48. Bd1 Be6 49. Bb3 Ke7 50. Ke2 Kd7 51. Kd2 Kc6 52. Kc3 a5
53. a3 a4 54. Ba2 Bg4 55. Kb4 Be2 56. Ka5 Bd3 57. Kb4 Bc2 58. Ka5 Bb3 59. Bb1
Bd1 60. Ba2 g4 61. Bb1 Be2 62. Ba2 Bd3 63. Kb4 Be2 64. Bb1 Bf1 65. Ba2 Bh3 66.
Bb1 Bg2 67. Ba2 Bh1 0-1

You can't claim a draw there, no.

It is not a practice online to claim a draw.

How tf do you flag a classical game.

You cannot claim otb in Blitz and Rapid either and only in rare cases in long games. I mean you can claim, but it‘s useless or counterproductive, i.e. opponent might get a bonus.

There is a new rule that allows you to get increment when you offer draw. The FIDE applies this rule for 2 or 3 years, and in any time control I think

It's a crap rule tbh.

Not in Blitz and not in rapid. In long games yes, but it is sometimes excluded in advance (by the organizer).

Either way, the trend goes to an ubiquitous increment from start.

So if the opponent has only the king left and I run out of time, he's the winner?? In the final position of the game posted above, black has practically zero chance of winning the game. The bishop is stuck, the pawns are all blocked, the king can't penetrate.