Might it happen that a man with polycystic kidney disease have children?

Usually!: Adult polycystic kidney disease (apkd) is one of the most common inherited disorders. Extra-renal manifestation of apkd is not uncommon. Cysts involving the male reproductive system have been reported. Among cysts involving the reproductive system, seminal vesicle cysts have been reported. Current literature reports that majority of men "remain fertile.".

Autosomal dominant: Adults with polycystic kidney disease are usually fertile unless they are have kidney failure. Genetically it's an autosomal dominant condition which means that every one of his offspring live or future has a 50% chance of having the condition.