No way. According to the Bible. the history of it being more credible, things would have been exactly opposite. Noah's descendants, coming down from Mt. Ararat and spreading from that region near Lake Van, some would have remained behind for ages, with the rest multiplying and populaying the rest of the globe.
Spaniards descending from Armenians sounds more reasonable to me.
There was an area in the Caucasus known as Iberia in ancient times (now in the western part of Georgia, including Tbilisi). Close to Armenia, but inhabitants would have spoken an unrelated language.