Short answer: No
On UNIX like systems permissions are managed with something called UIDs. Every process has one and it dictates what they can access. Moreover there're also groups that have permission that they members can use. When an app has permissions like
Write to SD card they're put into a group that has this permission.
The root permissions are an exception since they are not declared in the apps manifest, but rather in the applications code. Root is also not a group but a seprate UID so it's not that easy for an app to use it.
Apps that have root rights need to be explicitly written to do so. The way this works is every time an app wants to do something as root, it has to request the
su binary to do instead. This file than ask the app that manages these permissions whether the app is on the allowed list and if it isn't than prompt you to allow or deny it.
Than the action is carried out by root not the app. These actions are not an integral part of the app nut rather external executable. If you ever did a
ping on your computer than you've seen a small program like this.
While hypothetically it is possible to add this to an app this would be a non-trivial process requiring knowledge of writing smali code, which is the internal format of the Dalvik Virtual Machine (this is the part of system that runs the apk file) called smali. So in reality this isn't really feasible.
You should request this feature from the developer of the app.