After long debates with friends about a possible Turboed b16a2 in a HF CRX I have decided to ask the forum. Will a turbo, and intercooler and the nessasary parts for a turbo fit in an engine bay of an 89 HF (had the 88 SI body still) with a b16a2?

yes it will. you might need to get traction bars and a 1/2 sized radiator but it should fit

YES. your main concern will be the radiator and piping.