Is there a way to make pages based on a template stand alone and just upload them?

Olaa,
Im using wordpress now and the template system does not allow me to go into the template make a page and save it outside of the template. I saw that there is a way to download the template and i just upload it now from my laptop to wordpress each time i want to make a new page based on that template but isnt there a way where i can edit those templates add my text and pictures and then just download the full page?
Very much thaanks in advance!

 

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