The ‘savepoints’ in the game are where players ‘pause/reset’ the level. Otherwise quitting out the game entirely is quick, easy, and does mostly the same purpose. Unless you’re in a few specific points you’re right where you were when you quit out. Enemy positions reset, but otherwise progress is saved in realtime with the exception of bossfights. They reset the room entirely until defeated.

(Players can actually quit out fast enough that they can ‘undo’ falling off a cliff as the game resets their position to the last point on a solid ground.)

So there is effective pausing of the game, just not a pause while panicking midgame button.