I will say "maybe" because in today's music world number one hits are not only on the singer's shoulders but on the record company, the PR/advertising dept., the songwriter's, the singer's/record label's choice of songs on the airplays, the DJ's who want to play your music, etc.
And if your first CD does not have any commercial hits out of it your record label drops you like a hot potatoe.
Tough business for anyone even though you are a celebrity's daughter.