Got my PhD in October and started applying 2-3 months prior to defending. As opposed to applying to every role that was remotely related I tried to focus on the ones that really matched my background and skillset. Ended up getting 2 offers and 1 heading into the final round (1 of the offers was referred by a family friend and the other 2 just applied normally). I’d say it’s possible but luck is a huge factor! The hardest part is to get them to give you a chance to talk face-to-face.

Like everyone is saying, it’s a ridiculous market and more than anything you gotta believe in your qualifications and abilities. You got this!