Ok, a few explanations. I am writing these as a reply so as not to have to split them into several comments.
Does Edge work instead of IE to do web scraping with VBA?
It does not work directly. The reason is that IE has a COM interface (Wikipedia: Component Object Model). No other browser has this interface. Not even Edge.
But for Edge there is also a web driver for Selenium. Even provided directly by MS.
Another alternative - xhr
Since you can't use Selenium because you don't have admin rights, there might be the possibility to use xhr (XML HTTP Request). However, in order to make a statement on this, we would have to know the page that you want to scrape.
Xhr can be used directly from VBA because it does not use a browser. The big limitation is that only static content can be processed. No JavaScript is executed, so nothing is reloaded or generated dynamically in any other way. On the other hand, this option is much faster than browser solutions. Often, a static file provided by the web server is sufficient. This can be an HTML file, a JSON or another data exchange format.
There are many examples of using xhr with VBA here on SO. Take note of the possibility first as another approach. I can't explain the method exhaustively here, also because I don't know everything about it myself. But there are many ways to use it.
By the way
IE will finally be discontinued in June 2022 and will then also no longer be delivered with Windows. That's what I read on the German IT pages a few days ago. But there are already massive restrictions on the use of IE.