Need more information.
1. What type of app? Canvas, Model, Power Pages, Custom SharePoint Form?
1. What form? please share your application
2. What permissions? How are you defining permissions (roles, security Groups?, Teams? what?)
I am going to stop there as you haven't explained what permissions means and that is the complete important detail to tell you.
What I will say is this.
If you are using any tangible "security" model, you can definitely load a persons security roles and groups and when they try to open the form using an old link, it can check and then, (options for example), show them a "screen/form/page" that just says, "This link is expired you do not have access to leverage this" for example.
So I am going to say yes, is probable, but need to understand your security model and flow model and app.
Cheers!
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