Normally I'd say the answer is no, but there's actually a chance that you could get that combination working with the help of the FlashManager software which you would use instead of the F2A PowerWriter software. At least, if anything can do it, that's the one. http://mootan.hg.to/fmgba/
If that works, you'll probably have to add the loader software as the first rom you flash over. I don't know if the latest WINF2A270.gba would work, but if it doesn't then "Loader 3.3" should work. Here's an archived copy of those downloads: https://web.archive.org/web/20070102181245/http://members.home.nl/penpvdbs/downloads.htm
Again this is all hypothetical.
EDIT: Interesting. H_D_I_D_T posted the same link on March 3rd but without the Archive.org copy of it. I wonder if the page was online on the 3rd and it went down between then and now.
I don't quite know the details, but it's a little bit more complicated than that. The closest thing to a "standard" that the F2A USB cable follows is the fact that it's very similar to the homemade ULA cable specification. I've used the software from that webpage (renaming the included files so that the program uses the F2A-specific binaries) in order to turn my GBA into a USB joypad through that a F2A USB cable.I cannot see how the cables internals are all that different, they should be a standard kind of data cable.