Yes! You can save individual articles that you find on the BrowZine Web app or on your mobile device app which automatically sync across all your devices via your BrowZine account.
To save journal articles to "My Articles" on the BrowZine web, find an article you would like to save and click on the "expand" down arrow. You will see the option "add to my articles" and will be asked which collection to save it under.
The "My Articles" function on mobile devices can be found in the export menu located on the upper right corner when viewing an article. Much like the web app, you will similarly be prompted to choose which collection to save it under.
Note: When you save an article, it does not save an actual copy of the article (e.g. as a PDF). BrowZine saves the citation information that will link out to the article within the Libraries' journal subscriptions.