If you insist, you can always write a custom Storage Extension that will deploy your Page to multiple locations, one of the locations can be the one from Tridion, the other you would need to define and pass in somehow, but...
Do note that this can be a world of hurt!
It will be up to you to make sure that both of the locations are updated, it will be up to you to handle what happens if one operations passes and the other one breaks, it will be up to you to always keep in mind this change, keep track of the references, have this in mind for future upgrades etc.
Because of all of this I strongly advice against venturing down this path.
Mihai wrote a blog about something similar some years ago, you can have a look here