is there any way to batch edit and process raw files in PL4? or in PL5?

I am own PL 4 and want something to process sony a7r3A files until the camera comes to Pure raw.

Not sure what your goal is exactly, but you can edit one photo (general edits) copy the edits and then paste them to a group of photos that you select by highlighting the first new image in the batch and holding the shift key and highlighting the last image in the batch. Once they are selected you paste the edits from the first step. The process works generally well. I use it quite often and then go back in and refine each image later, if needed. Hope this helps some.