Sure, but you'll need to rent the car to get there before I tell you where to go
There is an American acupuncturist who comes to Cabarete and spends several months here. She's back in the US but returns at the end of January. If you're interested, ask me again by end of January and I'll give you her contact info.
In Puerto Plata there is Gabriela in Residencial Hispaniola, up the hill from the police station in Sosua.
In Santo Domingo, there are lots of options. Tell where you would prefer to find the acupuncturist.