Yes, you can. Malta is an EU member state that has a citizenship-by-investment program. The price of the Maltese passport is substantially higher than that of a Caribbean passport (close to a million euros in total). Montenegro also offers an opportunity to obtain a second passport at a lesser price. Besides, some countries have ‘golden visa’ programs. A golden visa issued in exchange for an investment is a permanent residence permit that makes the holder eligible to apply for full citizenship after five years. Portugal, for instance, provides for such an opportunity. You do not have to permanently reside in the country during the five but you do have to spend at least one week there every year to qualify for citizenship.