I am wondering if is there is a way I can check if two different addresess belong to the same prvKey (wallet, person)... since there is a hash function involved in the process from getting the Address from the prvKey, I am guessing it is not posible, given two addresses know for sure if they were generated from the same prvKeys.. But I find hard to make a less intiuitive argument, any help?
You can look up and use the stake address to determine this. Stake address is unique to wallet and linked back to all payment addresses. Here is an example (use CardanoScan or other method to expose stake address). Two wallet addresses:
Have the same stake address: