.htaccess redirect 404 error to directory if it exists

Question

Is there any way to make /name.html and /name/ work interoperably in the event of a 404 error?

For example, if the following fails: http://domain.com/name.html

Then it would attempt: http://domain.com/name/

And only go to a 404 page if that directory didn't exist? The reverse would be interesting too, going from dir to .html, and then finally to 404 on a double fail.