No. What you're looking for are horror tropes, and despite the zombies this wasn't a horror story.I dunno, it just felt dumb in execution. There's a lot more tension when you have things like say the clicker in TLOU, where they cannot find you if you stand completely still.
The zombies were a bit of plot to hang the stories on, but the show was about the personal stories of the characters - what PTSD Ortegas did and why, M'Benga's choices, what Pike is feeling about Marie.