Not necessarily, but it doesn't really hurt to start off on that route.
This is an extreme example but, long ago (2005) I sold a Viper to a guy who dropped out of high school at 16. He 30 years later owned his construction company and numerous apartments. He was makes upwards of $60,000 per month (a tad under $750,000 a year). He fully had admitted to having the perfect life, but he semi regrets not at least getting an associates degree.
Then I know a 2 people people with doctorates who had been the valedictorians in high school, one went to Brown and the other Stanford (that one totally for free off academics). One teaches junior high and the other no joke, works at the post office.
Long story short, you have to have the drive to succeed. School is far different from the real world in relation to success, some excel in one and don't do well in the other.