I had Masters in Chemistry but one of the courses I did was industrial Management during my Masters.
Can I do my PhD in Industrial Management?

Yes, you can. I have personal experience on how that may work. I have a PhD in Chemistry and a Masters in Management. The university I attended made it very difficult to get a Chemistry degree, so I have done my Masters in Management in order to finish my PhD in Chemistry. Hence I can say that you never know when you may need that kind of education in your career. Also, I personally know a Chemistry professor who had to do his PhD in Management. He did that because the company he worked for required him to do a Master's degree in order to perform research and development of a new drug product.