("[something] like that [is not possible]!") Expression of disbelief, 'no (way)', 'impossible', 'it can't be', 'I don't believe it'.

like that; that kind of

passive, possible or honorific of やめる

quicken, hasten, speed up / advance, propel, accelerate, catalyze; push forward (a date)

(dialect or slang) imperative of やめる (yameru)

to quit / to stop / to cancel

to stop, to terminate, to cease, to discontinue, to quit / to abolish, to do away with

(transitive) to vex, to annoy, to cause distress, to make someone suffer / (intransitive, rare) to be vexed, to be bothered about something, to be distressed about something

the adnominal or attributive form of stative / resultative 悩めり (nayameri, “has been vexed”)

(dated) to ache