MD/JD Programs

I want to work in medical law (specifically with medical device patents pertaining to mental health), so I am looking at applying to JD/MD programs. I was thinking about Psychiatry for residency (4 years). If I pass the bar during the school year (I believe it’s also held in February for NY bar) before residency starts, would it be possible to start working as a lawyer during my time in residency? Has anybody done this? Thanks in advance!