Yes, resume format does matter. Your resume is all about advertising your greatest qualities as a candidate. In most cases, your most valuable attributes are related to your work experience and relevant achievements, so you should use the chronological resume format.
However, if you have gaps on your resume or are changing careers, the right resume format may be a combination or even a functional format to help you highlight your key strengths while downplaying some of your weaknesses as a candidate.
In a competitive job market, the right resume format can give you the edge you need to land an interview.