Yes, you can have your in5-exported HTML open in the default browser at start-up, by placing a shortcut in the startup folder.
More info:
- https://www.techsupportalert.com/content/how-open-your-favorite-program-or-document-automatically-startup.htm
- https://www.cnet.com/forums/discussions/how-can-i-have-a-file-open-automatically-at-startup-189608/