Yes, it should be possible, but it is not going to be a turn key solution. You will need to piece it together.
As long as you can get the raw text out from an OCR’d version of the PDF it seems you should have the data you need. Base on the partial example image, you seem to only need to pick out some of the starting lines given you say the format is pretty standard. Please note however that your format is varying and your partial example image does not indicate where episode numbers of dates would be obtained. So you will have some logic to build in around that - hence it isn’t going to be a turnkey solution.
There is an example of using PDF content to rename a file being processed by Hazel covered in this thread:
This sets out the crux of how to get some data out of your file to be able to process it to pick out the data you need to be able to file/rename it. Note given it looks like you might be using scanned copies of scripts as your source PDFs you might need to OCR first with one rule, and then use that to trigger a subsequent rule (e.g. by renaming the file with a prefix, adding a tag or setting a colour label that is then picked up by the next rule).
Based on the information in the thread you are going to have to take a bit of a step to pull out the data you need - if it even happens to be present. So hopefully you will be able to utilise more than just line number and the lines indicating episodes and dates be able to be matched using other means (you may need to learn about “regular expressions” if you don’t already know them).
While it is a yes, it is possible, it does have some technical complexity to it. But if you have a a lot of these to process, then automating it will of course be worth it.
So start with the referenced thread and see how far you get. You can always ask for further help on specific aspects and provide more comprehensive examples to make it possible for people on the forum to try it out with real example cover pages to test potential advice.
Hope that helps.