Apply same camera distortion from one image to another

Yes, you can. 

You basically have to follow the XMP workflow (“reuse alignment” in the doc / multi cameras rigs …). This is covered in the documentation.

In a few words : 

-you align all the cameras of the first frame (or another if suitable) of your video.

-you export XMP files for each camera.

-you reuse the XMP files for the other frames.

Of course, you can do that manually but you better do this with the CLI if you want to automate. I am usually using simple windows batch files (.BAT) to do all the copy / rename work and then the CLI to process with RC.