FORECLOSED

Before you can use Telekinetic Bullets, you'll need to unlock your Telekinesis ability and then unlock the bullets in your upgrade menu. You'll automatically learn your Telekinesis ability as you progress through the story (in the chapter "Rude Awakening" to be more specific). From there, you'll need 2 EXP Points to unlock the Telekinetic Bullets. Make sure when you buy them that you actually equip them onto your gun. Now, when you fire your gun, the bullets will automatically attract to enemies, allowing you to forgo straight on aiming. Be careful, though, as if your mental state gets too high (if your implants start to spaz out), the ability will stop working on your gun so you'll need to unequip/re-equip it. 

It's pretty unlikely you'll be anywhere close to 1000 by the time you finish the game since you get the ability so late in the game itself, so if you're still short by the time you've completed the story, you can grind these out in the chapter "Bad Trip". Use the room on the left to grind them out since there are more enemies. Each of the red enemies will take 6 hits to kill, while the purple enemies will take ~13. Make your way through the room and let them kill you before you finish so the room restarts. Using this method will get you roughly ~120+ bullet hits per run, so you won't have to spend too much time grinding this out. 

Once you've landed your 1000th Telekinetic bullet, the trophy will unlock.