My father, a retired attorney, has a favorite saying:
you can sue anybody over anything for any reason at any time. You may not win, but you can always sue.
If you'll forgive me for asking a rhetorical question, why wouldn't you want to collaborate with the subject of your movie? If you were writing an exposé, blowing a whistle or filming a tell-all it would make sense. But you said you're basing the film off a book the subject wrote and published.
Please tell me that I'm wrong, but off the top of my head, the only reasons someone would ask the question you're asking are...
You're sure they'll say no if you ask, or
You want control over the production and you expect they'll take it, or
You want more credit than you'd otherwise get, or
You don't want to split the proceeds.
The problem is, largely famous or not, celebrities have a brand they will often go to great lengths to protect.
A Düsseldorf court has sided with the famous rock musician. A German woman who had put up a single bootlegged CD of one of his concerts for €9.95 on eBay now has to pay major fees.
The decision was reached by the Düsseldorf regional court on Wednesday. The injunction issued on behalf of best-selling guitarist Eric Clapton forbids a woman from the town of Ratingen near Düsseldorf from selling a bootlegged recording of one of his concerts from the 1980s online. Clapton sent the court an affidavit stating that the recordings were illegal.
The defendant claimed she did not know she was infringing copyright when she put the recording for sale for €9.95 ($11.20) online and appealed to the court. The 55-year old claimed her late-husband told her he had purchased it in 1987 at a well-known department store.
Yet the appeal was rejected. The judge ruled that it did not matter that she hadn't purchased the CD herself and did not know the recording was done illegally, as German tabloid Bild reported. The injunction requires the defendant to pay the legal fees of both parties, which total approximately €3,400, according to the media outlet. If she continues to offer the CD for sale she faces a fine of €250,000 or six months in prison. (Source)
Successful brands are like fine crystal: a ton of work to make and easy to break. If the owner doesn't act to protect the brand it becomes easier for the next person to profit from it without compensating the owner.
Conclusion
Never pluck another person's golden goose without asking first.