no men do not have cyclic hormonal changes like a woman's monthly menstrual cycle but men can certainly have random periods of anger due to surges of their own (male) hormones (testosterone) or for a dozen other reasons. the bursts of anger would not be cyclic.
does man have "period"? . women have period. they bleed and change emotions. men of course don't bleed but sometimes become really upset or angry for no reason. so is that period for men?