Not like you can the normal way. Water resistance is much greater than air resistance, and trying to walk through it will bleed off practically all of your momentum. You’d also need more than your weight in ballast to get you an upward force the opposite of gravity. Also, as riprock96 suggests, the underside of the ice may not be as flat and even as the top side. So, I guess it depends on how much like it will satisfy you.
Maybe try roller skating on a ceiling and work your way up from there until you’re happy. ;-)