Yes there was a woman who committed suicide by taking her own life jumping off the Empire State Building in the year 1947 which was around 72 years ago now.
The woman who jumped off the Empire State Building was Evelyn McHale.
Evelyn McHale born September 20th 1923 was an American bookkeeper who took her own life by Jumping off the Empire State Building.
She jumped from the 86th floor Observation Deck of the Empire State Building.
As far as I know there hasn't been anyone else who jumped off the Empire State Building since then.
If you jump off the Empire State Building or any other tall building like that then you will certainly die unless you land on a trampoline or other soft surface or there is some miracle.