The obvious answer to that is no. But that's no fun. And sometimes we can learn new things by explaining the "obvious", so here goes :)

The strangely extrovert behaviour of coastal Norse-speaking communities known as "going viking" belongs to the 7th century at the earliest, to perhaps the 11th century at the latest. Depends on where you draw the line between, at one end, viking activities and pre-viking raiding of the neighbours, asserting control over trade routes and similar. At the other end comes the fussy transition from viking activity to colonisation and later conquest with dynastic ambitions. But no matter how you cut it, Caribbean pirates are definitely a post-Reformation phenomenon. Is there any way to bridge the gap without going full von Däniken?

If we go by the most important type of war equipment, the viking ship, we'll find that the general purpose ship called an ask is relieved by a diversity of special purpose successor ships in the 900's - as you would expect from the change in the nature of Norse overseas expeditions, and of politics in the homelands. But when the Norwegian war call went out to defend Bergen in 1429, the massive dragon-prowed longships once levied by the Norse viking kings failed to turn up. The power of the farmer lords who were obligated to answer the call had been depleted by loss of manpower - whole clans and hamlets gone to the plague - by encroachment of church acquisition of land, and from a century or so of getting away with converting ready ship levies into tax payments. Cool detail for the war buffs - we get to imagine the very hypothetical possibility of Norse housecarls going up against early gunpowder weapons in the 1200-1300's. But we're still not even close to the Columbian crossing, much less the 1650's.

We could try to go by language and cultural continuity, but here we run into the problem that not all Norse are vikings, and not all vikings are Norse. Scandinavian sailors continue to turn up everywhere ships found a port, but they're not vikings - they're Scandinavian sailors. While there are strong threads of cultural continuity on the subsistence level of society, the plague threw into chaos the medieval Norse prestige culture which fed the overseas ambitions that were a continuation of the original viking raids. The 1600's to 1700's saw the consolidation of its replacement by early modern European prestige culture, begun before the reformation (though a strange kind of scholarly Norse revival, Swedish Götisism, was still going strong in the 1600's - Swedish imperialism definitely drew on the same mythical age of heroes the vikings did, but phrased in a framework that belonged to its time).

I dare to suppose we would have heard about something as notable as a rural-born or scholastic Scandinavian pirate or privateer captain active in the Caribbean. So no chance of a Pirate captain who asks Thor for good weather; at most the occasional lost sailor who knows a Norse charm to stop bleeding.

There is one curious connection between vikings and pirates, though. Caribbean pirates did not bury their treasure - but vikings did. Presumably, the myth attaching to the former originated with the latter.