Nope! All you'd do is scrub off the flakes and or whatever your elbow grease load is, and remaining chrome would be shinier than the gray bare metal.
Yet if just bare metal is your goal. better get steel wire wheel on grinder. Otherwise you ain't going nowhere wit steel wool and likely the same wit wire brush.
Delusions of re-chroming in USA? Fer-get-a-bout-it the EPA made it cost prohibitive, >> buy another.
Alternatively, pretend chrome (they'll say anything to sell a bottle) rattle can spray paint is your Huckleberry.