Roguelike (or rogue-like) is a style of role-playing game traditionally characterized by a dungeon crawl through procedurally generated levels, turn-based gameplay, grid-based movement, and permanent death of the player character.

If that's your definition of Rougelike then yes.
Most people understand procedural generation and permadeath to be the core features.
While many feature turn-based gameplay, grid-based movement is not typical.