Since linking to another page in the prototype reloads the page, no. You can’t. That leaves you with two options:
- Don’t reload the page
- Pass the correct state back to the external site when it loads again
The first requires you to re-architect your prototype such that everything happens on one page. At a high level, you could use dynamic panel states to simulate “pages.” This way the iframe is never reloaded and you preserve the state of the external site.
The second option requires that your external site can handle retrieve its state from the URL, such that you could track state with Axure variables and then construct the correct URL for the external site to show the state you want. For example, perhaps it supports something like
https://www.google.com/?q=query", where Google uses query parameters to pass state to the page and prefills the search box with
query. Of course I do not know if the site you’re using implements anything like that.
The first option is probably the easiest.