It doesn't hurt to ask.
BUT, before you ask, you may want to decide whether your story is one you want another to tell, or whether you want to have more control over how your story is told. Many who are involved in newsworthy events or stories of public interest will "collaborate" with a writer to create a book, and then share in the profits.
There is an advantage to you, of course, in becoming coauthor of the book. You can help direct the tone of the book and you can make money off your story. But it can also be of benefit to the writer who has approached you, and it can be of benefit to the publishing company.
You, as subject of the book and also coauthor/collaborator, can help promote the book, and often to a wider audience than the writer alone could. The more publicity a book receives, the greater the number of readers/buyers who will hear of the book, which in turn will generate greater sales and more money for all involved.
If this is something you are interested in considering, however, you would want to consult with a business/publishing/IP attorney, so that all terms of any coauthorship or collaboration are adequately spelled out in a contract.
On the other hand, if you are content to just tell your tale to a writer and have the writer write the book they envision, and you have no desire to become any more involved in the book than that, but you still would like some compensation, this compensation should be discussed prior to any interviews you grant to the writer.
Some writers will not want to compensate a person for their story, depending on the story and the particular "slant" a writer wishes to take and depending on whether it is a "journalistic account" of the story, as it might be seen as compromising the integrity of the work. And, of course, the writer does not need your permission to write about you, if your accident was one that made the news.
But, you also don't need to provide access or grant any interviews or provide any insights into your accident either. This makes the idea of compensation a bargaining tool for you to use with the writer.
Should any agreement be reached between you and the writer/publisher to compensate you for, say, the time you spend relating your story, you should have the agreement in writing and reviewed by an attorney prior to signing.
Good luck.
