Sorry that I don’t quite get what you want to ask.
Can I use HDMI output for one and Display Port to other?
If this is the only question you want to ask, then the answer is yes. You want 2 displays so of course you need to connect 2 monitors here.
What is “nano working interface”? The ubuntu desktop?
If you are trying to ask how to do it, then it also depends on your usecase.
Videostream is a very common and ambiguous description. For example, I could use Chromium to open a youtube stream and pull it to the second monitor. That sounds matching your case too. But I don’t think that is what you want. So please describe more about your case.