Not impossible but you need to plan carefully

Personally I would stay in one of the cities, instead of   rushing through both. But if you must you can use the following to  help you plan:

Rick Steve's Rome itinerary,   between 2 to 7 days https://www.ricksteves.com/europe/italy/rome-itinerary

Rick Steve's Paris itinerary, between 2 to 7 days https://www.ricksteves.com/watch-read-listen/read/articles/paris-itinerary

These itineraries will help you prioritize the sights you want see.