A few years ago some idiots where trying to get Turks and Caicos as a 11th Canadian province or 4th territory. Naturally it failed miserably as it should.
That wasn’t too far fetched. Look how the US got parts of its territory. Almost the entire midwest was bought from France, Alaska was bought from Russia, the US Virgin Islands were bought from the Danish.
The Turks and Caicos belong to the UK. Nowadays countries take into consideration what the locals of these places think about having their land sold to someone else, but the UK could decide to sell them to Canada.
Puerto Rico belongs to the USA, but the USA can sell PR to any other country and Puerto Ricans have no say in it.
Spain did the same in 1795, not sold but ceded the Spanish part of the island to France. Well, Dominicans didn’t agreed with that and within 15 years +/- it was given back to Spain by the will of the Dominicans. The DR has Dominicans who always get what they want regarding who owns their land, but many places don’t have the equivalent of Dominicans and I don’t think Turks and Caicos is an exception to that. Those islands are sold to Canada and they become Canadian territory and that’s that.
Dominicans are the ones that decide who controls their land and if they are not happy with the result, the “owners” are going to be kicked out. By that point it’s a given. They are leaving whether they want to or not. But, as said already, much of the world isn’t populated by equivalence of Dominicans.
Now the DR is in a much better position to do this. The country has a long basically unprotected boarder, the government does not listen to its people, most tax dollars are spent on people who do not pay tax and a lot of the people speak a version of French that the rest of the French speaking world can't understand.
It's a natural fit.
A Dominican province can’t be created in land that isn’t Dominican.