There is currently no way to turn your project into a website, but there are number of developments in that direction which might be of interest.
Not strictly a website, but one option that is already far advanced is to allow for Tropy projects to be shared easily: i.e., you could upload such a project and other would be able to download the project and view it in Tropy (it’s also possible to do this with ‘remote’ images, that is, have others download only a project file and view the full project, with the original photos hosted on a server). Sharing a project is not fully ready yet, but you can already get close by using the archive plugin: this lets you export any number of items in your project as a zip file, which others can import back into a Tropy project.
If you want to curate a project as a website, there is also Tropy’s sibling project Omeka to consider. There is an Omeka export plugin for Tropy, which allows you to export Tropy items to an Omeka S server.
If this is not what you’re looking for, here are two more ideas: printing Tropy items currently works via HTML; we could look into allowing you to save the print layout as a HTML archive (instead of only allowing you to print it). This would result in a plain website for any of your items.
Alternatively, it would be relatively easy to create an HTML export plugin on the basis of the current archive plugin: what the plugin currently does is to collect all the images and compile a JSON file with the metadata – this could be adjusted to create HTML files based on some template instead.