No, he's not yet married. In an interview of Adrinkwith.com published on July 15, 2015, Adam mentioned that he's a single man.
After that interview, an article from Contactmusic.com published on July 30 2015, stated that the US TV Star Adam Richman has fuelled rumours he is dating British pop singer Myleene Klass after they were spotted holding hands in London. However, it was not confirmed.
They have teamed up to front a barbecue cookery contest called BBQ Champ for Britain's ITV network, and they got close on the set of the show. Richman showered her with gifts during their time working on the programme and revealed she has invited him to her London home for a dinner date.