Open Question: Should i apply to jobs in which i do not meet the requirements?

I'm an accounting student (just finished with my third year) and i really want a part time job relating to accounting such as account payables clerk or accounting assistant. The problem is every single job posting i come across requires at least one year of relating experience and i only have three months of experience from volunteering. So my question is should i just give it a shot anyway or is it really pointless and i shouldn't waste my time sending off my resumes anymore?