Genevieve Sabourin, who claims she spent a night of passion with Alec Baldwin before being charged with stalking, says she’s sick, broke and needs a new lawyer. Sabourin tweeted that she was ill at her mother’s house in suburban Montreal yesterday when she was due in Manhattan Criminal Court for a hearing on charges she stalked Baldwin and his wife, Hilaria Thomas, reports The Post’s Bill Sanderson. The case was adjourned to February, giving Sabourin another court deadline to obsess over. “More months of suffering, of financial loss and of stress,” she tweeted in French. “And it will mark one year that I’ve been dancing through the palace of justice with no result save that I’ve had my life completely destroyed!” Sabourin, 40, has tweeted up a storm pleading for Baldwin and the Manhattan DA to drop the charges. She even said Baldwin must relate to her plight because of his dealings with the legal system in his 2002 divorce from Kim Basinger. “Only [he] was a millionaire and a movie star . . . I’m broke, no work, no home . . . nothing left and with pneumonia.”