No, men do not produce breast milk. They do make a thing that a man can wear that looks like breast and can be filled up with a womans breast milk so they can feed the baby. Most of the time though, the mother would pump their breast and put the breast milk in a bottle if the father is wanting to feed the baby.
Men cannot produce milk, however with stimulation can produce some nutrition for a baby. During the Potatoe Famine and the Russian Revolution men were known to breastfeed and lactate to sustain their child. Interesting animals these mammals.