All apps on iOS need to pass App Store review, which means all apps that integrate third-party SDKs need to ensure those SDKs don't violate App Store policies, including policies on fingerprinting. Apple has already started to deny approval of apps using third-party SDKs that violate user tracking policies on iOS 14.
Of course you can. You're entirely missing the point, which is that without a review process that sets explicit limits for how data can be used, developers will abuse system APIs to violate user privacy.
Restricting APIs doesn't solve the problem because there are plenty of APIs that apps need for legitimate purposes but can be abused by bad actors. Many of the APIs used for device fingerprinting would fall under this category.
Either way users should be able to choose what they install and from where.