Yes, you can get a haircut whilst scalp cooling, as long as the hairdresser is aware of your circumstances and moderates their approaches. It’s completely fine to have a trim to get rid of dry ends or a cut if you feel like shorter hair would be more manageable. However, you may want to have a dry cut rather than a wet cut as it might be gentler on your hair. A blow dry is not advisable, as this will put additional tension on your roots- however it’s fine to get your hairdresser to wash your hair as long as they are being really gentle.