Yes... and no. While some of the horrors awaiting the heroes at the heart of The Last of Us are for all intents and purposes zombies, these aren't your typical zombies that you'd expect to find in other series like The Walking Dead (for one thing, they move much faster than a slow shamble).
That's before even moving on to other creatures from the series such as the infamous 'clickers' who differ even further, or the origins of these creatures being quite different from the usual 'unknown pathogen' of your stereotypical zombie affair.