Sure, but if you go on vacation and don't check your email for two weeks, you can't really claim “no warning”. If two weeks isn’t sufficient notice because of vacation it’s fine to say so, but it’s not the same thing as “no warning” just because you’re not checking email.

I might ignore personal project emails while I'm on vacation, but I also won't complain if one of those emails says my billing method is out of date and I come home and it's been turned off.