That would be denied and likely cost Habba her law licence.
Members of the Bar have personal contact all the time. They meet at Bench and Bar social events. They attend educationals together. They sometimes work at the same law firms or act as co counsel at the same trial. It takes a significant personal association to raise any presumption of impropriety.
Being in the same 1,000 partner NYC law firm 30 years ago isn't close to cutting it. The motion will be perceived as malpractice and unethical and an unwarranted personal attack on the judge.
Habba is probably on professional thin ice already. She was massively sanctioned for $900k in another Trump debacle. She clowned her way through both the Engoron and Kaplan trials, making numerous mistakes and running her mouth like a 2-bit punk during recess.
The next fuck-up she creates will likely be her last.