No.
Aurora Store offers this because microG uses the same package name as the Google Play Services, as microG mimics to be those Google Play Services so Google-dependent Apps feel fine with microG.
A good thing to do would be to use Aurora Store’s Blacklist manager to blacklist every App which you didn’t install via Aurora Store (yes, these are many) to not confuse the system, Aurora Store or yourself with updates which Aurora Store shouldn’t offer.