You would be risking it big style and mostly due to traffic — 5/10 minutes from Warszawa Zachodnia (Jerozolimskie street, good luck with that...) sounds way too optimistic and I know that area and Warsaw generally speaking like the palm of my hand. That being said, security once at the airport shouldn’t be an issue (get the Uber driver to stop at the first available space once they go past the barrier, enter the airport building through the first door and head straight to the very bottom, fast track will be on your right), however do bear in mind that you will also need to go through passports, adding a potential 5/10 extra minutes on your way to the gate. I surely wouldn’t do that but, at the end of the day, each individual has a different approach to risk
G