〜かねない
could well (happen), might (something bad)
Verb ます-stem + かねない
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かねない warns that something bad could easily happen: そんな運転をしていたら、事故を起こしかねない, "driving like that, you could easily cause an accident".
It attaches to the ます-stem and is only used for unwelcome outcomes. It's a warning or a criticism, stronger than かもしれない and more personal than おそれがある.
It can also describe someone's character: あの人なら、そんなことも言いかねない, "that person is quite capable of saying something like that".
Be careful: despite the ない, it doesn't mean "can't". It's the opposite of かねる, which means "can't (bring myself to)". The double negative works out as "can't be ruled out".
Examples
そんな運転をしていたら、事故を起こしかねない。
Driving like that, you could easily cause an accident.
このままでは、会社は倒産しかねない。
At this rate, the company could go bankrupt.
無理をすると、体を壊しかねない。
If you overdo it, you could ruin your health.
あの人なら、そんなことも言いかねない。
That person is quite capable of saying something like that.
小さなミスが大きな問題になりかねない。
A small mistake could turn into a big problem.