Assuming you did this in the Arctic so the ice wouldn't melt immediately, then yes. But since there's no readable data in the ice, the player won't play anything.Theoretically speaking, could you cut a DVD sized hailstone into a thin sheet, and then put it into a DVD player?
Actually, scratch that. I don't know about DVD players, but legend has it that if you play a CD-shaped hailstone in a CD player, you'll hear Schmoyoho's Tornado Song.