Beginner's question on updating a div on submit

Hello, thanks for reading my question first: Say I have in my database a table that contains recipes and a table that contains comment on recipes so I am thinking giving each comment an ID of recipe that it's commenting on. But I want to do something fancier: I want to have a list of comments on the recipe page, and a popup form for viewer to comment on a recipe on the same page, and then (my question here:) when a user finish writing up their comment, and hits submit, the comment goes to the comment table in the database and without refreshing, my div that contains the list of comment on the recipe page refreshes to show the newly added comment. Is this easy to do?

Thanks for answering my question!