I'm downloading the patch with no problems.
Are there any patch notes, btw?
Here are all the Steam patch notes so far. PS4 v1.02 is basically the same as v1.05a plus it has the PS4 dialogue loop fix.
v1.05a (April 17, 2017)
Fixed Gehenna/Nightshade error introduced by previous patch.
Wireless no longer overwrites Boo!'s once-per-battle property.
v1.05 (April 17, 2017)
Poison can no longer kill. This affects both the player characters & enemies. Poison abilities for Lauren & Z'xorv deal a little more damage. This is a buff. This should prevent the "Poison deaths sometimes freeze the game" bug.
Characters can no longer exceed the LV cap (99).
Fixed a bug where recharge was sometimes disabling one-time-use abilities.
Unleash can no longer be recharged mid-combat.
Revive Ray is now properly tagged as a gunmancy ability.
Fixed a bug with equipment that gives the Auto-Revive passive.
Fixed a bug that sometimes prevented the player from returning to Nightshade when they were supposed to be able to.
A specific map in the final dungeon should no longer randomly glitch out.
Swapped time icons for a pair of enemies that were reversed.
Duplicate shopkeeper glitch in Gehenna shelter fixed.
Various map adjustments.
Fixed some more NPC names.
v1.04 (April 14, 2017)
Fixed various map obstruction issues
Fixed various NPC dialogue issues (typos, missing text, incorrect names).
Fixed an issue where travelling to the Asteroid Ruins sometimes messed up the party.
Fixed an issue where you could get stuck in NuBurger if you went there at a specific time.
Fixed pickpocket returning to the map issue in Gehenna
Updated various sound effects
Swamp, casino, and outside waterfall cliff areas now have new ambient music tracks combined with their regular music.
v1.03 (April 13, 2017)
Enemy auto-death at start of battle bug fixed
Psybe sidequest boss fixed
Miscellaneous map fixes
Fixed an issue where ally characters may stop animating
Fix for Alyssa's Speed Stick
Kevin no longer appears on the ship before being recruited
v1.02 (April 13, 2017)
Fixed a bug with the Battle command (for replaying battles) that sometimes would cause bad stuff to happen.
v1.01 (April 12, 2017):
Removed a glitch where Chahn & Dave could appear as NPCs in the Agency HQ after joining your party.
Fixed a possible freeze that sometimes occurs soon after the first lab boss.
Fixed a bug where you could leave Gehenna through the south exit before the Nightshade scenario sequence-breaking the game and leading to major issues later.
Fixed an issue where you could get into an unfinished sidequest that we were planning on releasing later in a free update.