'There's' is a contraction of the words 'there is.' By stating 'there's no way' you are relaying a thought of doubt about an event taking place now or in the future.
'There's'是'there is'的缩写形式，通过用'there's no way'你传递的是你怀疑现在或将来发生的事件。
Here are some examples: 这里有一些例子：

"There's no way you finish on time." 

你不可能按时完成。

"There's no way we complete on time." 

我们不可能按时完成。

"There's no way your mother approves." 

你母亲不可能批准。

"There's no way no one claims it." 

不可能没人说这件事。

"There's no way they expect it." 

他们不可能预料到。

"There's no way he can fix it." 

他不可能修理好。

"There's no way he can handle the news." 

他无法处理这个消息。

"There's no way your brother injured his ankle." 

你弟弟不可能伤到脚踝。

"There is no way that horse jumps it." 

那匹马是不会跳的。

"There is no way he missed it." 

他不可能错过它。