There are two kinds of passwords. There is LiveID (Passport), has both an email address and a password as part of the credentials and which I presume you are talking about, and there is a conventional password.
Maybe you could be the first to report getting into your file without remembering your credentials. Note discussions including "ElComp" in this thread:
http://social.microsoft.com/Forums/en-US/money/thread/3f3401dc-908a-4e96-9d67-bad3f7ea8a80
Also note hleofxquotes discussion of passwords. See
http://social.microsoft.com/Forums/lt-LT/money/thread/9f5519cf-6d04-4379-a806-b317a737ae1a He does not have a file with a Live ID to test that. What suspect would be most useful to him would be a file with a known Live ID on it.
I suggest you write down each email address you might have used. Then write down all of the email addresses you might have used. Think of permutations. Keep paper and pencil by your bed in case you think of something to try. Think of all of the places
that you may have written down your credentials. Even the passwords for other applications may be useful, since many people will use similar passwords for different applications.
When you have your list, disconnect from the Internet. Start Money, and try to log in offline. Try all of the permutations you can think of. Write down what worked. We did have one poster succeed in remembering the credentials.
Do not attempt to change your LiveID. In any case, you will need to use the credentials that were in effect at the time that you saved that Money file.
In Money 2006 and later, to remove the Live ID, go to File-PasswordManager, and choose to remove your LiveID. To remove or add a conventional password, also see File->PasswordManager.
In direct answer to your question, there is limited hope. Sorry.