No, because at least on iOS the pop-up has a button for allow and a button for deny and the app must function wether you allow or deny, it can only disable related functionality.
Exactly, which is why Apple should realize a messaging app doesn't need to be sending high-accuracy accelerometer data off device and ban apps that do. Ultimately GDPR laws need to make this illegal. The scary thing is that giants like Google and Facebook are doing this tracking with the kind of resources only perviously available to governments.
Want sensors, system info, literally anything else? Ask.