@Sakai Can i ask why ? I can understand cotton swabs (even i found that strange) but a earpick is quite a strange to bring to school unless you stay at dormitory.
I don't know why this practice seems to remain popular in Japan. Use of a syringe is considerably safer. (Just make sure to dry-out the ear afterwards.)
Having your ears picked actually feels great. Just tell them to be real gentle though since they might accidentally push some dirt deeper in your ears or injure your ear canals