不通过构造函数设置先前的异常

tl:dr

Is is possible to set the previous exception without being through the constructor?

We're using a base exception which already multiple arguments, I don't intend to add more (if possible). So what I though is to add a method withPrevious(\Exception $e) to the base exception. So it could be used like:

catch(SomeException $e) {
    throw new SpecificException($arg1, $arg2)->withPrevious($e);
}

However I couldn't find any kind of setter for the previous exception, I really think it must be set by the __construct()

Any idea if is it possible?

Thanks