Probably, but for security reasons the only correct thing to do is remove the ability of Edge to set default browser within the browser.
The only option app developers - including internal Microsoft ones - should have is open some OS settings app in a supported way, but the user has to accept the selection.
It should work like an Android permission prompt. The OS should have an official method for apps to request to become the default (not merely link to the default apps page of settings). The OS prompt should look like this:
Would you like to make <APP NAME> the default app for <APP CATEGORY>?
[No and don't ask again] [Yes]
Any app that wants to become the default (including Edge) should go through the official prompt. If the user has already said no, and the app wants to continue nagging, at this point the app will be able to link into the settings (but not pop up the official prompt).
The only option app developers - including internal Microsoft ones - should have is open some OS settings app in a supported way, but the user has to accept the selection.