What is the harm of applying for a position for which you don't seem to be qualified? If you tailor your resume and cover letter the right way, nothing is wrong with going for it.
Applying for a job is like entering a lottery; you have to be in it to win it. You certainly should focus on jobs for which you are very qualified, but don't be afraid to apply for jobs which are seemingly out of reach. Your unique skills and personality may secure you a dream job.