Yes, it can be done easily. First, set the kind of project to HTML,
When you upload the zip with the index.html file, tick the "This file will be played in the browser" checkmark
Change the embed options to your taste
Then upload any other additional files and tick the corresponding OS checkmark.
Save your project page and it's done. The download buttons will appear at the bottom of the page, while the game will be embedded at the top.
You can see an example of how this looks in one of my games: https://remruts.itch.io/wssd
You can also customize the theme of the game page to suit your needs.