Is there a limit as to how many hair cycles a man can have?

Yes, but the normal, non-balding male’s number of life cycles are not limited. In the balding male, they may be limited in the balding area to between 5-8 depending on the length of the cycle and the age that it kicks in. My grandfather had his 5 year old hairline when he was 102. I suspect, if he did not die then, his hair would have kept growing and growing