Is hdi a turbo?

Assuming that you are enquiring about Peugeot models carrying the HDI designation, the answer is yes, because they are diesel engines. Nearly all diesel engines used in modern cars are turbodiesels because that is the only way to make them perform in a manner to compete with a petrol engined model. A normally-aspirated diesel could really only be used on commercial vehicles, and most of these are now turbodiesels too.