Is there a way to zoom on the center of the view so it doesn't move?
That's why I answered with zoom features.
I'm curious why you have this need to have the page in the center of the screen. If you could share more about that, there might be a feature that will work for you. I mean, of course you want the page fully on the screen, but I don't understand why you need it centered on the screen.
Possibly you're accustomed to some other graphics program which has such a feature, and you miss it in Inkscape? Of course as an open source program, anyone is welcome to request new features. You can request a new feature here:
https://gitlab.com/inkscape/inbox/issues Click the New Issue button, and fill out the questions. (If you don't already have a gitlab account, you'll have to register.)
Or it's possible that as you use Inkscape more and more, you'll realize you don't need the page centered on the screen? Did you realize that it's possible to draw outside the page border in Inkscape? Or that you can remove the page border entirely, if you don't want to see it? I rarely use a page border myself. I wonder if either of those would work for you?