Here is such a position.
[FEN "1k6/p1p1p1p1/P1P1P1P1/8/8/8/PKP1P1P1/8 b - - 0 1"]
With Black to move, no side can make any progress. White still has plenty of pawn moves to make to reset the 75 move counter. It's a legal position as well.
Interestingly, this is a position that humans understand better than engines!
It's a draw, even if Stockfish insists it's +7.
As pointed out in the comments, adding 4 black pawns that White can take adds another 12 resets to the 50 (75 if unclaimed) move counter.
Also, a wBh7 that cannot escape and will eventually be taken would add yet one more reset but this is not possible since this bishop never could escape f1 to get there.
[FEN "kR6/p1p1p1p1/P1P1P1P1/p1p1p1p1/8/8/PKP1P1P1/8 b - - 0 1"]