Do I have a case if I reported broken office chair to supervisor and fell from chair after?

The tool was placed in NY. I reported the faulty chair to my direct supervisor prior to fall. The fall took place shortly afterward with no witnesses. I reported fall to supervisor and again asked for a new chair. I was fired from job at the end of same week, three days after fall. This was a new job. Employment last 3 business weeks and was told the reason for termination was due loss of business unrelated to my performance.