Hi @AlexanderHitrov-2710,
I'm assuming you are referring to the kind
of your app service plan. If so, then unfortunately no, this type of workflow is not supported. You would have to create a new Linux app service plan and redeploy your code to the new app service plan. You can also download your files from your existing app service if you don't access to the source code repo. I will say that deleting the app and creating the new one is quick process but can't 100% guarantee you'll have the same name, there is a risk. The guaranteed route is to use a custom domain, that way it doesn't matter what <app-name> is. Check out Scott Hanselman blog about his migration process.
Regards,
Ryan