Snopes.com says "no" and gives some convincing justifications for their answer on their Web site.

"Go Ask Alice" is a great book. People still read it today, even though it was published in 1971 as a cautionary tale about the horrors of drug addiction. The story starts when "Alice," a regular girl from a middle-class home, is served an LSD-laced soft drink at a party. Within months, her life is falling apart and she is living on the streets.

Supposedly, her parents find this "diary" after their daughter has overdosed, but that is not true. This book is written in the first person, but is complete make-believe.

Remember that Snopes.com: Rumor has it is a great place to check things out that just sound bizarre.