Game

I had a hard time finding good moves near the end. Is there any way for white to make progress?

The game looks like me vs myself well the opening.
Black has to be the only one with chances but its just a draw.

I see chances for White. White has 2 Pawn groups and Black 3. Especially Pawn d5 and square d4 are weak and Pawn a6 is weak too.
A game plan to make progress might be Kd2, Na4, Kc3, Nc5.
Black will counter with Ke5 and d4 to deny square d4 to the White King and to get rid of the weak Pawn d5.
So it may be better to first play f4 to deny square e5 to the Black King. In that case the Black King can go to f5.
So it may be better to play g4 first to take square f5, then f4 to take e5 and then Kd2.

I don't think white has anything there.
d5 isn't really a weakness since white can't attack it well.
Black can just bring his king over to d6, then white can't make progress in @tpr 's plan.

I do not know. Black still has two weaknesses and white can manoeuvre against these.
Maybe just 40 Kd2 Ke5 41 Ne2 planning 42 Kc3, 43 Kd4, 44 Nf4.

Updated game plan: 40 Kd2 41 Ne2 42 Kc3 43 Kd4 44 Nf4 45 h4 46 g4 47 fxg4 48 h5 winning.
What can black do against that?

Thanks for the suggestions. I think black will play Ke5 so white's king can't get to d4.

Yes, I think so too, simply Ke5 and white can't play Kd4.
The reason Ke5 isn't in my plan above is because of white's pawn f4. But white can't put both a pawn and a knight on f4. Also, black can even play h4 himself if he really fears the white advance there.

Yes if black plays ...h4 himself that is annoying.
Maybe 40 h4 Ke5 41 Ne2 intending 42 Kd2 43 Kc3 44 Nf4 45 Nd3+ 46 Kd4 47 Nf4 48 g4 49 fxg4 50 h5 winning.

Wait, Nd3+ Kd4?! after Nd3+ black obviously plays Nxd3 and the pawn endgame still looks very much like a draw. (or are you trying to get some zugzwang situation where black has to give up the b4 square for the knight?)