I don't think so.
I asked the local FSDO about this a year or so back, and they said, no, I would have to do a checkride with a FAA examiner or designated examiner. Not aware of anything changing since then.
But call some FSDO (google search) and verify for yourself. You can normally speak to someone, or they will get back to you via email, if they don't know the answer.
The real answer is to try and do the sim/checkride with someone who is an examiner for both FAA and JAA.