This is really just another variant of "How can I override the user's expressed wishes?" isn't it? There are lots of places scattered around my computer where I tell it what browser to use when opening a link.
I kinda doubt you can tell one browser to use a different browser when opening an internal link. Now, if you've got those same links in a pdf file...
If that were possible it would create a rather big security issue.
Scenario: User visits a site with an exploit for another browser, page detects that you aren't running the browser, but give you a link that will launch the vulnerable browser (if installed) when clicked on.
Answer: No it is not possible and hopefully never will be.