Personalizing/customizing is what a cover letter is for. Your CV should just be a fact sheet of your live in chronological order, latest bullet point first.
The only point in customizing your CV (aside from lying to your future employer, which is frowned upon in most cultures) is to bring it to a certain arbitrary length to conform to an external requirement. "Not exceeding two pages" would be such a requirement.
The easiest way to do this for multiple applications is to have a detailed and a summarized section for each point in your CV in your base document. That probably exceeds any limit. My CV would be dozens of pages in that form. But that is where the actual work is. Then, depending on position and target page size/count, you select if you need details or just a summary for each point. In some cultures or industries, it might even be normal to completely delete irrelevant points. So for each point, pick details, summary or delete it. Repeat until you are down to the desired length.
The point here is to do the heavy lifting once in your full document that you never send to anyone (except for friends to review it for you) and then every two days just copy the document and delete sections until you are happy with the page count, which should be a simple numbers game and a no-brainer.
You will still have to write a custom cover letter if required. But you can probably have some text blocks you copy and paste into every one.