I am 58 and divorced to a man I was married to for 22 years. He is 57.
Can I start drawing on his social security when he becomes eligible?

Martha,
You can collect a divorced spouse's benefit any time after your Ex-husband turns 62, you don't have to wait until he files for his retirement benefit.
However, if you start your divorced spouse's benefit before your full retirement age, then it will be reduced.
Best,
Mike