Yes, it is true. But only tall grass. And only Generation I - III.
A Pokémon using Cut can remove a certain type of tree, which acts as an obstacle between the player and their destination. It can also be used to cut tall grass. In Pokémon Emerald, a Pokémon with Hyper Cutter can cut a larger area of tall grass around the user. -Bulbepedia
Hope This Helped :D