Yes, you can register and promote your Mobile App via Ads Manager before setting up tracking with an SDK tracking tool. You can also use direct links for the app store without registration. However, in this case your app installs’ statistics will not be available and you will not be able to use CPI for payment – only clicks.
If you use the services of Facebook Mobile Measurement Partners (e.g. AppsFlyer, Adjust and others), you can use their data to track and optimise for installs and events within the app without installing a Facebook SDK. To do this, set up an integration.