Growth marketing analyst at Stitch fix referral request

I am a data analyst, with 4 years of experience in growth analytics. Pretty interested in what stitch fix is doing and have a personal connecting with stitch fix. I was waiting for a correct opportunity to come up in this company. Finally today I saw an opening which matches my career interest and my qualifications. I see that stitch fix mostly hire people who have prior experience in a reputed product based company . I currently work at a start up since last year. But before that I have experience working with Priceline and GE as a Growth Analyst. I have been preparing for FAAng+ companies interviews for more than a month now and I am sure if I get an interview call I will be able to clear it. Do I stand a chance to get called for an interview with stitch fix given my background? Will anyone be willing to refer me to this position ? Thanks