No, there isn't. You need to use the F7 method.
In fact, I will say more. The F7 method is the method that you should always be using, IMHO. I know that it seems easier to use the Windows Express BIOS Update (EBU) executables, but I have seen these executables brick the BIOS on a number of occasions and I will not use them until I expressly see a message from Intel indicating that the cause has been found and addressed (unfortunately, this problem occurs so sporadically that it is proving difficult for them to find). At the same time, there are a number of minor bugs in the EBU executable itself that never seem to get fixed either. These bugs cause it to do things like (1) say that the installation failed when, in fact, it succeeded and (2) say that the BIOS is a Unsupported Legacy BIOS when, in fact, it is not.
Let me add that I have absolutely no idea whether the lack of an EBU executable for BIOS 40 is as a result of the findings that I detailed. Intel would need to tell us why no executable is posted.