Well, no. Not the entire game. Day 1.
I may be getting a distorted impression from one game in which Day 1 RNG was extremely unlucky. After more games in this alpha I'm starting to see that this was an extremely unusual case.
On that game I was finding no glue/tape, no ammo for the gun I had, no healing (every med pile had either basic bandages or drugs), and the trader didn't have any meds, ammo, or glue either. Which made questing in the city seem particularly brutal.
I still think some fine tuning is warranted for wandering zombies in city areas. In later days when you have decent weapons and plenty of ammo, it's possible to farm them almost indefinitely from a secure perch.