I have the following code:

WebDriverWait(self.driver, 20).until(expected_conditions.element_to_be_clickable(click))

Now this sometimes fails and I know why it fails. But the error gives me

TimeoutException: Message: 

Which is useless. Can I possibly set this message?

You don't have to try/except or wrap anything; message is just an argument of the until() method.

WebDriverWait(self.driver, 20).until(expected_conditions.element_to_be_clickable(click),message='My custom message.',
)

This produces:

selenium.common.exceptions.TimeoutException: Message: My custom message.