If you’re asking that question, the answer is “No,” and you should keep the terminal open and at least check that it finished without errors. What you should probably do is keep it open in one window that you can see while you do something less boring tha watching text scroll by in another window.
If your question is “how can I keep a ssh session running so that it won’t close when I disconnect and I can reconnect to it later” then you should find out about screen or tmux. It seems to me like your understanding of how terminal sessions work is such that just keeping the terminal open is the best course of action for you.