"Meine Brüder und ich werden ein Buch schreiben."
Übersetzung:My brothers and I are going to write a book.
In this case, no. 'My brothers and I' is the subject of this sentence, and replacing the 'I' with 'me' is grammatically incorrect in that case.
Doing so is a common error, but it is an error and shouldn't be used in formal contexts.