Not really. Puerto Rico’s use of USD is much closer tied to the fact that it’s citizens are full US citizens. It’s not like we bought them or they collapsed and eventually fell under our control. No we went to war with Spain, mostly to get Cuba, and they were one of the islands we got when we won. They became a territory that’s capable of statehood while other winnings like Cuba and the Philippines were released and as they became sovereign states adopted their own currency. The only states we purchased were in the middle of the mainland, under the gold standard, and because Napoleon was broke.