Generation of institution names
Conditional on you having data, yes, you can. Check out Generative Adversarial Networks and/or Reinforcement Learning for text generation. This paper is a good starting point: https://openreview.net/forum?id=rJedV3R5tm.
Also, here's a tool that might help you. What you can do is generat these institution names without differentiating by type, and then build another model to classify them.