Almost. Kuki pronounced “KOO-kee” is the child’s word for penis. Something akin to our “wee-wee.” Punci or “POON-tsee” is the equivalent for the female genitals.
The more vulgar word is fasz. That’s more like our dick. Another slang word meaning penis, not so much in use, is pöcs.
Incindetally, the word Puszi, pronounced “POO-see” in Hungarian is not the sexual word it appears to be. It simply means “Kiss” and is very commonly used, though tends to cause quizical looks among English-speaking foreigners.
In Polish, we have chuj, “dick” and chujek, “little dick.” Also kutas. Pisior or pisiorek are the kids words for it.