Anything you do on the inside, such as exerting force on a wall ... affects the station and must be cancelled out over time. Won't this cancel itself out over

Anything you do on the inside, such as exerting force on a wall ... affects the station and must be cancelled out over time. Won't this cancel itself out over time anyway? If the astronaut kicks off one wall (acquiring momentum by applying a force), won't he just float over to the opposite wall and negate that momentum by applying a complementary but opposite force?