I'm trying to make a gun have recoil, so every time you shoot it the camera jolts up a few pixels before returning back to where it was after a fraction of a second. But I can't figure out how to move the camera.

Ive been looking into this also and it isnt easy, when you come up with a solution id love to hear about it. I dont think camera movements are easy

In your case, since you have camera shake that should only occur presumably in 1st person, the answer is actually simpler: move the player, not the camera.

 

What I mean by that is, you can rotate the player's head yaw and pitch, and their view perspective will change accordingly, effectively simulating camera movement without moving the camera.

 

That's how I made the Z-targeting in my Zelda mod, though I had originally framed the problem in the same way that you had and made no progress on it for over a day until I rephrased the question.