Postman: How to view response of a previous request from history?

Yes, there is a way to show previous responses but not via History tab.

What you should do is:

1. To Save your response when you get it:
2. To select in and click on it:
3. Then you'll see your previously saved response:

Update:

In recent updates Postman added possibility to view saved responses from History tab:

In the latest app, v6.5.2, you can now toggle the Save Responses options in the History tab in the left sidebar. Once turned on, clicking on a request in the history would also show the response that was received for that request.

Note that only requests sent after the toggle was turned on would have the saved responses.