Only if they cut that song, possibly the creepiest performance in a major Hollywood movie musical.
I've never watched Gigi and really only know the song from Peter Sellers doing it in Revenge of the Pink Panther: youtube link. In looking up that clip I also found out they released a single of Sellers singing the song with a brass band.
I agree with Finn re: "Thank Heaven for Little Girls", but do adore Gigi. Most of that has to do with Leslie Caron and Hermione Gingold and I'm not sure Vanessa Hudgens can hold a candle to Leslie Caron.