Yes. Go to the link below and plug in your zip code. I used 39530 and there were several.
go to www.uscis.gov, look for civil surgeons section and it should give a link to immigration approved physicians to perform examinations for immigration purposes. If not go to forms and look for I-693 and link may come up on that form.
no. Mississippi is a good state for illegals to be in. hehehe.