As an AI developed by OpenAI, I provide information based on the data I’ve been trained on as of September 2021, and as per my last update, Dr. Jay Bhattacharya, a physician and economist, has not been nominated by former President Donald Trump for the position of director of the National Institutes of Health (NIH).
Dr. Bhattacharya is known for his work at Stanford University where he researches the economics of health care. However, his nomination for NIH director by President Trump, to the best of my knowledge, did not happen. Do note that this information might have changed post my last training data in September 2021, so you may want to look up the most recent sources.