No.
People like to say these things are just fads, but really they ignore how much these monsters endure the test of time. Sure, there are times in which these types of stories peak and recently zombies did and I think its lulling a bit. You still get vampire films, we still get Frankenstein films, we still get werewolf films, and still get ones with a mix and match they just tend to go more under the radar
Also over-saturation really doesn't apply I think, nearly every zombie film or game or whatever has their own, sometimes minor differences. You don't go into a horror section of a store that sells movies or whatever and see that it's 90% zombies. There are plenty of stories. If you're truly sick of them just ignore the genre completely or something.