Typically, even if hiring manager would like you one way or another (either he genuinely believe that you can perform, or he wants sacrificial lamp), usually he is under orders from VP level which forbid interviewing anybody with bad mark in last three years.

However, those who call out VP orders are weak managers anyway, so you do not want to go work for them. A manager who hired me actually was impressed by me enough to go to director and bat for me to give me a chance to interview...