无 + [noun] + 可 + [verb]
无可 + [two-syllable verb]
无…可… says there's no X to do something with. 无 is "have no", 可 is "can", and the noun in the middle is what the verb would act on: 无话可说 is "have no words that could be said". It's written and comes in four-character phrases; the spoken version is 没有 + noun + 可以 + verb.
The frequent ones:
In writing the frame takes other one-syllable nouns and verbs too: 无书可读, 无人可问.
With nothing in the middle, 无可 + a two-syllable verb means "can't be …": 无可挑剔 "beyond criticism", 无可替代 "irreplaceable". 无可奈何, "can do nothing about it", is a set phrase.
The pieces are single syllables, and 可 can't be dropped. To use longer words, switch to 没有…可以….