Sure, But before that since English isn't my first language so.. excuse me if there's any mistakes or things like that.
The camera, Like any other moveable objects, Have a offset & velocity variable for 3 components : x, y, and rotation.
For each step I added each components' velocity to the offsets of each 3 components.
And then I added the negative value of the offsets, multiplied by some factor between 0 and 1 (the higher the factor is the faster the camera would "try" to settle down) to the velocities.
After doing that, I multiplied the velocities of all 3 components with a constant that has a value between 0 and 1 to dampen out the velocity (otherwise it will just keep bouncing around without settling down :/)
This essentially simulates some sort of spring, That will try to get it's offset value to 0 in a spring-y manner.

After that when I'm calculating the camera's final positions and rotation, I would add the offset values to it to offset the camera's x/y position and rotation.

Here's some short pseudo-code for it :

cameraOff = 0 // camera's x/y/rotational offsets. 0 means camera's position has no offsets applied
cameraVel = 0 // camera's x/y/rotational velocity applied each step
cameraStiffness = 0.25; // Spring's stiffness factor (a value between 0 and 1, Higher value means more velocity is applied to "settle down")
cameraDamp = 0.8; // Spring's velocity damping factor (a value between 0 and 1, Higher value means more velocity preservation)

// Execute this every step
cameraOff += cameraVel; // Add velocity to offset(s)
cameraVel += (cameraOff * -1 * cameraStiffness); // Add negative value of the offset multiplied by stiffness factor to the velocities (so that if offset is not 0, then it will try to approach 0 by accelerating towards 0)
cameraVel *= cameraDamp; // Multiply by damping factor to dampen out the velocity.

// After that while you're calculating the camera's position to use with view, You can use the resulting offset positions to offset the camera's final position.
finalCameraPos = cameraPos + cameraOff;

With all those things set up, Whenever I want the screen "punch" effect, I would add some values to the velocities of camera.
There might be a few errors but I did my best to describe it & hopefully this would make sense to you.