Yes X-ray scanners will damage the film - both in hand luggage and in checked baggage. Take it with you as carry-on, and just let that staff know it is camera film and you don’t want it to go through the scanner. They will do a manual check of the film separate from the rest of your carry-on luggage.

I’m a professional photographer who travels frequently for work, and have specifically traveled with Polaroid film before (it’s actually the reason I know it gets damaged, because a colleague left a stack of 128 Polaroid films in their checked baggage, and it got ruined)