No, they don't.
There's törik (to break (intransitive)), szökik (to flee), szokik (to get used to.) Most verbs conjugated from nouns with -ez/oz/öz, eg. borozik (to drink wine), babázik (to play with dolls or an actual baby), mozizik (to go to the cinema.) There's also -od/ed/öd, that usually gives an -ik too, such as nagyobbodik (to get bigger/larger), távolodik (to get farther away) &c.