No - you cannot do this. Facebook requires the user to be verified before creating and developing applications using the Graph API.
I would think that they can track "bad" applications for real people in case the application violated their TOS.
Or in case of great success: P (look at the bright side;)
You can open a false account, but that also frowned on apon via Facebook. I was once (politely asked Facebook) to send an "official government document" complete with a photo to make sure that the user really represents the real "John Smith" (yes ... the wrong name, I think;) In any case - obviously, I I couldn’t provide such documents, and the account was closed, so I would recommend against it.
You may be able to ask your client to provide a Facebook account. In any case, there must always be several administrators for the application (usually your and your customer accounts). This should ensure that one of you will always control the application. If one of your accounts is locked / closed, you can still access the settings through the other.
In my story about John Smith, I left some statements under Mr. Smith’s sole administration, and when his account closed, I lost control of these statements and had to contact Facebook to solve this problem; I managed to resolve this and transfer ownership of the application at the end.
I hope my little story shed light on the question :)